Money Word Problems
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Question 1 of 7
1. Question
Frank earns `$14` per hour for the first `3` hours of work and `$12.50` an hour after that. How many hours did he work to earn `$117`?- `x=` (6)
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A word problem can be drawn as a diagram and then translated into an equation for easier solving.First, draw a diagram of the problem in order to understand it betternumber of hours worked after `3`hrs: `x`
Translate the problem into an equation based on the diagram`3($14)+x($12.50)` `=` `$117` Solve for `x``3($14)+x($12.50)` `=` `$117` `42+12.5x` `=` `117` `42+12.5x` `-42` `=` `117` `-42` Subtract `42` from both sides `12.5x` `=` `75` `12.5x``-:12.5` `=` `75``-:12.5` Divide both sides by `12.5` `x` `=` `6` `x=6` -
Question 2 of 7
2. Question
A school concert was attended by adults and students. The tickets cost `$15` per adult and `$6` per student. The total ticket sales was `$2235`. If `95` adults attended the concert, how many students were there?- (135)
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A word problem can be drawn as a diagram and then translated into an equation for easier solving.First, draw a diagram of the problem in order to understand it betternumber of students in the concert: `n`
Translate the problem into an equation based on the diagram`95($15)+n($6)` `=` `$2235` Solve for `n``95($15)+n($6)` `=` `$2235` `1425+6n` `=` `2235` `1425+6n` `-1425` `=` `2235` `-1425` Subtract `1425` from both sides `6n` `=` `810` `6n``-:6` `=` `810``-:6` Divide both sides by `6` `n` `=` `135` `135` -
Question 3 of 7
3. Question
I have `60` coins. Some are `10¢` and the rest are `20¢` coins. Altogether, they total `$10.80`. How many of each of the coins do I have?-
Number of `10¢` coins: (12)Number of `20¢` coins: (48)
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A word problem can be drawn as a diagram and then translated into an equation for easier solving.First, draw a diagram of the problem in order to understand it betternumber of `10¢` coins: `n`number of `20¢` coins: `60-n`
Translate the problem into an equation based on the diagram and make sure all values are in the same units`10¢(n)+20¢(60-n)` `=` `$10.80` `10¢(n)+20¢(60-n)` `=` `1080¢` Solve for `n``10¢(n)+20¢(60-n)` `=` `1080¢` `10n+1200-20n` `=` `1080` `1200-10n` `=` `1080` `1200-10n` `-1200` `=` `1080` `-1200` Subtract `1200` from both sides `-10n` `=` `-120` `-10n``-:(-10)` `=` `-120``-:(-10)` Divide both sides by `-10` `n` `=` `12` number of `10¢` coins Solve for `60-n``60-n` `=` `60-12` Substitute `n` `=` `48` number of `20¢` coins Number of `10¢` coins: `12`Number of `20¢` coins: `48` -
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Question 4 of 7
4. Question
A bank teller orders a payroll in `$20` and `$50` notes. She needs `82` notes totalling `$2450`. Calculate how many of each note she must order.-
Number of `$20` notes: (55)Number of `$50` notes: (27)
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A word problem can be drawn as a diagram and then translated into an equation for easier solving.First, draw a diagram of the problem in order to understand it betternumber of `$20` notes: `x`number of `$50` notes: `82-x`
Translate the problem into an equation based on the diagram`$20(x)+$50(82-x)` `=` `$2450` Solve for `x``$20(x)+$50(82-x)` `=` `$2450` `20x+4100-50x` `=` `2450` `4100-30x` `=` `2450` `4100-30x` `-4100` `=` `2450` `-4100` Subtract `4100` from both sides `-30x` `=` `-1650` `-30x``-:(-30)` `=` `-1650``-:(-30)` Divide both sides by `-30` `x` `=` `55` number of `$20` notes Solve for `82-x``82-x` `=` `82-55` Substitute `x` `=` `27` number of `$50` notes Number of `$20` notes: `55`Number of `$50` notes: `27` -
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Question 5 of 7
5. Question
Anna has `$8` more than Julie, and Pina has `$15` less than Anna. If they have `$37` altogether, how much does each person have?-
Anna: `$` (20)Julie: `$` (12)Pina: `$` (5)
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A word problem can be drawn as a diagram and then translated into an equation for easier solving.First, draw a diagram of the problem in order to understand it betterAnna: `x`Julie: `x-8`Pina: `x-15`
Translate the problem into an equation based on the diagram`x+(x-8)+(x-15)` `=` `$37` Solve for `x``x+(x-8)+(x-15)` `=` `$37` `3x-23` `=` `37` `3x-23` `+23` `=` `37` `+23` Add `23` to both sides `3x` `=` `60` `3x``-:3` `=` `60``-:3` Divide both sides by `3` `x` `=` `$20` Anna’s money Solve for `x-8``x-8` `=` `20-8` Substitute `x` `=` `$12` Julie’s money Solve for `x-15``x-15` `=` `20-15` Substitute `x` `=` `$5` Pina’s money Anna: `$20`Julie: `$12`Pina: `$5` -
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Question 6 of 7
6. Question
James earns `$20` a day more than Tom and `$27` a day less than Bob. The `3` friends’ total earnings for one day is `$733`. Find the daily earning of each friend.-
James: `$` (242)Tom: `$` (222)Bob: `$` (269)
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A word problem can be drawn as a diagram and then translated into an equation for easier solving.First, draw a diagram of the problem in order to understand it betterJames: `x`Tom: `x-20`Bob: `x+27`
Translate the problem into an equation based on the diagram`x+(x-20)+(x+27)` `=` `$733` Solve for `x``x+(x-20)+(x+27)` `=` `$733` `3x+7` `=` `733` `3x+7` `-7` `=` `733` `-7` Subtract `7` from both sides `3x` `=` `726` `3x``-:3` `=` `726``-:3` Divide both sides by `3` `x` `=` `$242` James’ daily earnings Solve for `x-20``x-20` `=` `242-20` Substitute `x` `=` `$222` Tom’s daily earnings Solve for `x+27``x+27` `=` `242+27` Substitute `x` `=` `$269` Bob’s daily earnings James: `$242`Tom: `$222`Bob: `$269` -
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Question 7 of 7
7. Question
Zoe has a certain number of `10¢` coins and `4` times that number are her `50¢` coins. The total value of all her coins is `$37.80`. How many of each coin does she have?-
number of `10¢` coins: (18)number of `50¢` coins: (72)
Hint
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Incorrect
A word problem can be drawn as a diagram and then translated into an equation for easier solving.First, draw a diagram of the problem in order to understand it betternumber of `10¢` coins: `n`
Translate the problem into an equation based on the diagram, then make sure all units are the same`10¢(n)+50¢(4n)` `=` `$37.80` `10¢(n)+50¢(4n)` `=` `3780¢` Solve for `n``10¢(n)+50¢(4n)` `=` `3780¢` `10n+200n` `=` `3780` `210n` `=` `3780` `210n``-:210` `=` `3780``-:210` Divide both sides by `210` `n` `=` `18` number of `10¢` coins Solve for `4n``4n` `=` `4(18)` Substitute `n` `=` `72` number of `50¢` coins number of `10¢` coins: `18`number of `50¢` coins: `72` -