Peter, Liam, Reggie and Glen went shopping with a total of $605. After shopping, they had a total of $144 left. Liam spent $50. The amount Reggie spent was
45 the amount spent by Peter. The total amount spent by Peter and Liam was $201 less than the total amount spent by Reggie and Glen. How much did Peter and Glen spend altogether?
| |
Peter |
Liam |
Reggie |
Glen |
Total |
| Before |
|
|
|
|
$605 |
| Change |
- 5 u |
- $50 |
- 4 u |
- ? |
- $461 |
| After |
|
|
|
|
$144 |
Total amount that Peter, Liam, Reggie and Glen spent
= 605 - 144
= $461
Total amount that Peter and Liam spent
= 5 u + 50
Total amount that Reggie and Glen spent
= 5 u + 50 + 201
= 5 u + 251
Total amount that Peter, Liam, Reggie and Glen spent
= 5 u + 50 + 5 u + 251
= 10 u + 301
10 u + 301 = 461
10 u = 461 - 301
10 u = 160
1 u = 160 ÷ 10 = 16
Total amount that Liam and Reggie spent
= 4 u + 50
= 4 x 16 + 50
= 64 + 50
= $114
Total amount that Peter and Glen spent
= 461 - 114
= $347
Answer(s): $347
