Question

Alex and Case are starting their own businesses. Alex has $52 from pre-orders and plans on selling the mittens he made for $4 each pair. Case has $35 from pre-orders and plans on selling the mittens he made $5 each pair. Which equation could you use to determine when Alex and Case will have the same amount of money?

Answer 1

Equation could you use to determine when Alex and Case will have the same amount of money is
`52+4x=35+5x`

Explanation:

Let x be the pairs of mittens when Alex and Case will have the same amount of money

Alex has amount before orders = $52

He will sell 1 pair of mittens = 4

He will sell x pair of mittens = 4x

So, Alex's total amount = 52+4x

Case has amount before orders = $35

He will sell 1 pair of mittens = 5

He will sell x pair of mittens = 5x

So, Case's total amount = 35+5x

ATQ

52+4x=35+5x

52-35=x

17=x

Hence the pairs of mittens when Alex and Case will have the same amount of money is 17 and equation could you use to determine when Alex and Case will have the same amount of money is
`52+4x=35+5x`