180k views
4 votes
What is the equation that I should ues in order to solve this problem?

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

1 Answer

6 votes

Answer:

Justin has 27.50

Eva has $20

Emma has 15.50

Explanation:

Let v = how much money Eva has

j = how much money justin has

Justin has $7.50 more that Eva

j = v+ 7.50

m= how much money Emma has

Emma has $12 less than Justin.

m = j-12

Together, they have a total of $63.00

Justin + Eva+ Emma = 63

j+v+m =63


Equations:

j = v+ 7.50 Solve this for v j-7.5 = v

m = j-12

j+v+m = 63

Substitute the first 2 equations in so this equation will be in terms of j

j + (j-7.5) + (j-12) = 63

Combine like terms

3j - 19.50 = 63

Add 19.50 to each side

3j-19.50+19.50 = 63+19.50

3j = 82.5

Divide by 3

3j/3 = 82.5/3

j =27.5

Justin has 27.50

Justin has $7.50 more that Eva

j = v+ 7.50

27.50 = v+7.50

Subtract 7.50 from each side

27.50-7.50 = v+7.5-7.5

20 =v

Eva has $20

Emma has $12 less than Justin.

m = j-12

m = 27.50 - 12

m = 15.50

Emma has 15.50

User Ram K
by
6.2k points