Question

Erie has $46 in his account and is saving $8.50 each week Olga has $14 in her savings account and is saving $12.50 each week after how many weeks Will and Olga their

Answer 1

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Amount in Arie's account = $46

Arie's each week savings = $8.50

Amount in Olga 's account = $14

Olga 's each week savings = $12.50

Let x be the number of weeks when Arie and Olga will have the same amount in their accounts

Total savings of Arie = 8.5x

Total savings of Olga = 12.5x

Amount in Arie's account = 8.5x + 46

Amount in Olga's account = 12.5x + 14

For, Arie and Olga have the same amount in their accounts

8.5x + 46 = 12.5x + 14

Taking alike terms together,

12.5x - 8.5x = 46 - 14

⇒ 4x = 32

Dividing both side by 4 we get,

x =8 weeks

which is the required number of weeks.

Thus, Arie and Olga will have the same amount in their accounts in 8 weeks.