Ethan, Tommy, Rael and Andy went shopping with a total of $649. After shopping, they had a total of $126 left. Tommy spent $40. The amount Rael spent was
56 the amount spent by Ethan. The total amount spent by Ethan and Tommy was $299 less than the total amount spent by Rael and Andy. How much did Ethan and Andy spend altogether?
|
Ethan |
Tommy |
Rael |
Andy |
Total |
Before |
|
|
|
|
$649 |
Change |
- 6 u |
- $40 |
- 5 u |
- ? |
- $523 |
After |
|
|
|
|
$126 |
Total amount that Ethan, Tommy, Rael and Andy spent
= 649 - 126
= $523
Total amount that Ethan and Tommy spent
= 6 u + 40
Total amount that Rael and Andy spent
= 6 u + 40 + 299
= 6 u + 339
Total amount that Ethan, Tommy, Rael and Andy spent
= 6 u + 40 + 6 u + 339
= 12 u + 379
12 u + 379 = 523
12 u = 523 - 379
12 u = 144
1 u = 144 ÷ 12 = 12
Total amount that Tommy and Rael spent
= 5 u + 40
= 5 x 12 + 40
= 60 + 40
= $100
Total amount that Ethan and Andy spent
= 523 - 100
= $423
Answer(s): $423