Mark, Luke, Riordan and Rael went shopping with a total of $497. After shopping, they had a total of $76 left. Luke spent $50. The amount Riordan spent was
23 the amount spent by Mark. The total amount spent by Mark and Luke was $183 less than the total amount spent by Riordan and Rael. How much did Mark and Rael spend altogether?
| |
Mark |
Luke |
Riordan |
Rael |
Total |
| Before |
|
|
|
|
$497 |
| Change |
- 3 u |
- $50 |
- 2 u |
- ? |
- $421 |
| After |
|
|
|
|
$76 |
Total amount that Mark, Luke, Riordan and Rael spent
= 497 - 76
= $421
Total amount that Mark and Luke spent
= 3 u + 50
Total amount that Riordan and Rael spent
= 3 u + 50 + 183
= 3 u + 233
Total amount that Mark, Luke, Riordan and Rael spent
= 3 u + 50 + 3 u + 233
= 6 u + 283
6 u + 283 = 421
6 u = 421 - 283
6 u = 138
1 u = 138 ÷ 6 = 23
Total amount that Luke and Riordan spent
= 2 u + 50
= 2 x 23 + 50
= 46 + 50
= $96
Total amount that Mark and Rael spent
= 421 - 96
= $325
Answer(s): $325
