Question

Bob earns a certain amount of money each day. His assistant, Joe, earns $24 less each day. Together, Bob and Joe earn $1080 in a five-day week. How much does each earn per day

Answer 1

Amount earned by Bob = $ 120

Amount earned by Joe = $96

Explanation:

Framing algebraic equation and solving to find the unknown value:

Let the amount earned each day by Bob be 'x'. To calculate the amount earned in a five-day week, multiply x by 5.

To find the amount earned by Joe, subtract 24 from the amount earned by Bob.

Amount earned by Joe = x - 24

To calculate the amount earned in a five-day week, multiply (x-24) by 5.

Amount earned by Joe in five days = 5*(x - 24)

= 5*x - 5*24

= 5x - 120

Total money earned by both in five days = $1080

5x + 5x - 120 = 1080

Combine like terms,

10x - 120 = 1080

Add 120 to both sides,

10x = 1080 + 120

10x = 1200

Divide both sides by 10,

x = 1200 ÷ 10

x = 120

Amount earned by Bob = $ 120

Amount earned by Joe = 120 - 24

= $96