Question

Justin has $7.50 more than Eva ,and Emma has 12$ less than Justin. Together, they have a total of $63.00 How much money does each person have?

Answer 1

Eva has $20.00, Justin has $27.50 and Emma has $15.50

Step-by-step explanation:

The given is:

• Justin has $7.50 more than Eva
• Emma has 12$ less than Justin
• Together, they have a total of $63.00

We need to find how much money each person has

Assume that Eva has $x

∵ Eva has $x

∵ Justin has $7.50 more than Eva

- Add 7.50 to x

∴ Justin has = x + 7.50

∵ Emma has $12 less than Justin

- Subtract 12 from (x + 7.50)

∴ Emma has = x + 7.50 - 12 = x - 4.50

∵ Together, they have a total of $63.00

- Add x , (x + 7.50) and (x -4.50), then equate the sum by 63.00

∴ x + (x + 7.50) + (x - 4.5) = 63.00

- Add like terms

∴ (x + x + x) + (7.5 - 4.5) = 63.00

∴ 3x + 3 = 63.00

- Subtract 3 from both sides

∴ 3x = 60.00

- Divide both sides by 3

∴ x = 20.00

Substitute x by 20.00 in each expression above

∴ Eva has = $20.00

∴ Justin has = 20.00 + 7.50 = $27.50

∴ Emma has = 20.00 - 4.50 = $15.50

Eva has $20.00, Justin has $27.50 and Emma has $15.50

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