Michael, Ethan, Daniel and Lee went shopping with a total of $894. After shopping, they had a total of $139 left. Ethan spent $90. The amount Daniel spent was
45 the amount spent by Michael. The total amount spent by Michael and Ethan was $375 less than the total amount spent by Daniel and Lee. How much did Michael and Lee spend altogether?
|
Michael |
Ethan |
Daniel |
Lee |
Total |
Before |
|
|
|
|
$894 |
Change |
- 5 u |
- $90 |
- 4 u |
- ? |
- $755 |
After |
|
|
|
|
$139 |
Total amount that Michael, Ethan, Daniel and Lee spent
= 894 - 139
= $755
Total amount that Michael and Ethan spent
= 5 u + 90
Total amount that Daniel and Lee spent
= 5 u + 90 + 375
= 5 u + 465
Total amount that Michael, Ethan, Daniel and Lee spent
= 5 u + 90 + 5 u + 465
= 10 u + 555
10 u + 555 = 755
10 u = 755 - 555
10 u = 200
1 u = 200 ÷ 10 = 20
Total amount that Ethan and Daniel spent
= 4 u + 90
= 4 x 20 + 90
= 80 + 90
= $170
Total amount that Michael and Lee spent
= 755 - 170
= $585
Answer(s): $585