Zane owned two shops selling stationery. Shop T earned 30% more money than Shop U on Tuesday. On Wednesday, Shop T lost $64 while Shop U earned another $288. 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 |
- 256 |
- 64 |
+ 288 |
+ 1440 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Zane earned from Shop U on Tuesday in percentage = 100%
Amount that Zane earned from Shop T on Tuesday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Zane earned from Shop U
= 1 -
59 =
49(3) = (4)
52 u - 256 = 50 u + 1440
52 u - 50 u = 256 + 1440
2 u = 1696
1 u = 1696 ÷ 2 = 848
Amount that Zane earned from Shop T over the two days
= 13 u - 64
= 13 x 848 - 64
= 11024 - 64
= $10960
Answer(s): $10960
