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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