Michael owned two shops selling stationery. Shop T earned 30% more money than Shop U on Thursday. On Friday, Shop T lost $253 while Shop U earned another $454. 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 |
- 1012 |
- 253 |
+ 454 |
+ 2270 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Michael earned from Shop U on Thursday in percentage = 100%
Amount that Michael earned from Shop T on Thursday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Michael earned from Shop U
= 1 -
59 =
49(3) = (4)
52 u - 1012 = 50 u + 2270
52 u - 50 u = 1012 + 2270
2 u = 3282
1 u = 3282 ÷ 2 = 1641
Amount that Michael earned from Shop T over the two days
= 13 u - 253
= 13 x 1641 - 253
= 21333 - 253
= $21080
Answer(s): $21080
