Ethan owned two shops selling stationery. Shop S earned 30% more money than Shop T on Saturday. On Sunday, Shop S lost $447 while Shop T earned another $80. In the end, Shop S contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop S earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop S
(1) |
Shop T
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 1788 |
- 447 |
+ 80 |
+ 400 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Ethan earned from Shop T on Saturday in percentage = 100%
Amount that Ethan earned from Shop S on Saturday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Ethan earned from Shop T
= 1 -
59 =
49(3) = (4)
52 u - 1788 = 50 u + 400
52 u - 50 u = 1788 + 400
2 u = 2188
1 u = 2188 ÷ 2 = 1094
Amount that Ethan earned from Shop S over the two days
= 13 u - 447
= 13 x 1094 - 447
= 14222 - 447
= $13775
Answer(s): $13775
