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Question 1 of 1
Lisa guessed the number of marbles in a jar, but guessed 35 15 180
Incorrect
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A word problem can be translated into an equation for easier solving.
First, represent the components of the problem
number of marbles: x
Lisa’s guess: x + 35
Gemma’s guess: x - 15
Translate the problem into an equation using the representations above
Remember that to find the average of a number, get their sum and divide it by 2
The average of the 2
is
180
( x + 35 ) + ( x - 15 ) 2 = 180
( x + 35 ) + ( x - 15 ) 2 = 180
( x + 35 ) + ( x - 15 ) 2 × 2 = 180 × 2 Multiply both sides to 2
( x + 35 ) + ( x - 15 ) = 360
2 x + 20 = 360
2 x + 20 - 20 = 360 - 20 Subtract 20
2 x = 340
2 x ÷ 2 = 340 ÷ 2 Divide both sides by 2
x = 170
