Japheth, Bobby, George and Peter went shopping with a total of $853. After shopping, they had a total of $130 left. Bobby spent $10. The amount George spent was
23 the amount spent by Japheth. The total amount spent by Japheth and Bobby was $613 less than the total amount spent by George and Peter. How much did Japheth and Peter spend altogether?
|
Japheth |
Bobby |
George |
Peter |
Total |
Before |
|
|
|
|
$853 |
Change |
- 3 u |
- $10 |
- 2 u |
- ? |
- $723 |
After |
|
|
|
|
$130 |
Total amount that Japheth, Bobby, George and Peter spent
= 853 - 130
= $723
Total amount that Japheth and Bobby spent
= 3 u + 10
Total amount that George and Peter spent
= 3 u + 10 + 613
= 3 u + 623
Total amount that Japheth, Bobby, George and Peter spent
= 3 u + 10 + 3 u + 623
= 6 u + 633
6 u + 633 = 723
6 u = 723 - 633
6 u = 90
1 u = 90 ÷ 6 = 15
Total amount that Bobby and George spent
= 2 u + 10
= 2 x 15 + 10
= 30 + 10
= $40
Total amount that Japheth and Peter spent
= 723 - 40
= $683
Answer(s): $683