Reggie, Ian, Xavier and Simon went shopping with a total of $774. After shopping, they had a total of $101 left. Ian spent $100. The amount Xavier spent was
58 the amount spent by Reggie. The total amount spent by Reggie and Ian was $89 less than the total amount spent by Xavier and Simon. How much did Reggie and Simon spend altogether?
|
Reggie |
Ian |
Xavier |
Simon |
Total |
Before |
|
|
|
|
$774 |
Change |
- 8 u |
- $100 |
- 5 u |
- ? |
- $673 |
After |
|
|
|
|
$101 |
Total amount that Reggie, Ian, Xavier and Simon spent
= 774 - 101
= $673
Total amount that Reggie and Ian spent
= 8 u + 100
Total amount that Xavier and Simon spent
= 8 u + 100 + 89
= 8 u + 189
Total amount that Reggie, Ian, Xavier and Simon spent
= 8 u + 100 + 8 u + 189
= 16 u + 289
16 u + 289 = 673
16 u = 673 - 289
16 u = 384
1 u = 384 ÷ 16 = 24
Total amount that Ian and Xavier spent
= 5 u + 100
= 5 x 24 + 100
= 120 + 100
= $220
Total amount that Reggie and Simon spent
= 673 - 220
= $453
Answer(s): $453