Ethan owned two shops selling milk tea. Shop T earned 30% more money than Shop U on Monday. On Tuesday, Shop T lost $199 while Shop U earned another $386. In the end, Shop T contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop T earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop T
(1) |
Shop U
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 796 |
- 199 |
+ 386 |
+ 1930 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Ethan earned from Shop U on Monday in percentage = 100%
Amount that Ethan earned from Shop T on Monday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Ethan earned from Shop U
= 1 -
59 =
49(3) = (4)
52 u - 796 = 50 u + 1930
52 u - 50 u = 796 + 1930
2 u = 2726
1 u = 2726 ÷ 2 = 1363
Amount that Ethan earned from Shop T over the two days
= 13 u - 199
= 13 x 1363 - 199
= 17719 - 199
= $17520
Answer(s): $17520
