Xavier, Ahmad, Jeremy and Paul went shopping with a total of $576. After shopping, they had a total of $168 left. Ahmad spent $90. The amount Jeremy spent was
34 the amount spent by Xavier. The total amount spent by Xavier and Ahmad was $100 less than the total amount spent by Jeremy and Paul. How much did Xavier and Paul spend altogether?
|
Xavier |
Ahmad |
Jeremy |
Paul |
Total |
Before |
|
|
|
|
$576 |
Change |
- 4 u |
- $90 |
- 3 u |
- ? |
- $408 |
After |
|
|
|
|
$168 |
Total amount that Xavier, Ahmad, Jeremy and Paul spent
= 576 - 168
= $408
Total amount that Xavier and Ahmad spent
= 4 u + 90
Total amount that Jeremy and Paul spent
= 4 u + 90 + 100
= 4 u + 190
Total amount that Xavier, Ahmad, Jeremy and Paul spent
= 4 u + 90 + 4 u + 190
= 8 u + 280
8 u + 280 = 408
8 u = 408 - 280
8 u = 128
1 u = 128 ÷ 8 = 16
Total amount that Ahmad and Jeremy spent
= 3 u + 90
= 3 x 16 + 90
= 48 + 90
= $138
Total amount that Xavier and Paul spent
= 408 - 138
= $270
Answer(s): $270