On Tuesday, Tina, Nora, Emily and Shannon spent a total of $156. On Wednesday, Tina spent twice of what she spent on Tuesday, Nora spent the same as what she spent on Tuesday, Emily spent $18 less than what she spent on Tuesday, and Shannon spent $12 more than what she spent on Tuesday. All of them spent an equal amount on Wednesday. How much did Tina and Shannon spend altogether on Tuesday?
| |
Tina |
Nora |
Emily |
Shannon |
Total |
| Before |
1 u |
3 u |
3 u + $18 |
3 u - $12 |
$156 |
| Change |
x 3 |
|
- $18 |
+ $12 |
|
| After |
3 u |
3 u |
3 u |
3 u |
|
Total amount that the four girls spent on Tuesday
= 1 u + 3 u + 3 u + 18 + 3 u - 12
= 10 u + 18 - 12
= 10 u + 6
10 u + 6 = 156
10 u = 156 - 6
10 u = 150
1 u = 150 ÷ 10 = 15
Total amount that Tina and Shannon spent on Tuesday
= 1 u + 3 u - 12
= 4 u - 12
= 4 x 15 - 12
= 60 - 12
= $48
Answer(s): $48
