Question

Harper had $35 in her purse and found x dollars more on the couch. Cole had $41 in his wallet and spent twice as much money as Harper found on the couch. How much money did Harper find if both children had the same total amount of money?

$76
$1
$2
$38

Answer 1

By setting up an equation based on the amounts each child initially had and the amounts they either found or spent, it is determined that Harper found $2 on the couch in order to have the same amount of money as Cole.

Step-by-step explanation:

The student's question involves finding out how much money Harper found on the couch in order to have the same total amount of money as Cole. To solve this, we can set up an equation based on the information given: Harper had $35 initially and found x dollars on the couch, while Cole had $41 and spent twice the amount Harper found (2x). The combined money Harper has after finding the amount on the couch is $35 + x. Cole's remaining money after spending is $41 - 2x. We are told that both have the same total amount of money, so we set the equations equal to each other: $35 + x = $41 - 2x. By solving the equation 3x = $6, we find that x equals $2.