Mark, Tom, Valen and Sam went shopping with a total of $545. After shopping, they had a total of $93 left. Tom spent $50. The amount Valen spent was
47 the amount spent by Mark. The total amount spent by Mark and Tom was $-12 less than the total amount spent by Valen and Sam. How much did Mark and Sam spend altogether?
| |
Mark |
Tom |
Valen |
Sam |
Total |
| Before |
|
|
|
|
$545 |
| Change |
- 7 u |
- $50 |
- 4 u |
- ? |
- $452 |
| After |
|
|
|
|
$93 |
Total amount that Mark, Tom, Valen and Sam spent
= 545 - 93
= $452
Total amount that Mark and Tom spent
= 7 u + 50
Total amount that Valen and Sam spent
= 7 u + 50 + -12
= 7 u + 38
Total amount that Mark, Tom, Valen and Sam spent
= 7 u + 50 + 7 u + 38
= 14 u + 88
14 u + 88 = 452
14 u = 452 - 88
14 u = 364
1 u = 364 ÷ 14 = 26
Total amount that Tom and Valen spent
= 4 u + 50
= 4 x 26 + 50
= 104 + 50
= $154
Total amount that Mark and Sam spent
= 452 - 154
= $298
Answer(s): $298
