Simon owned two shops selling carpets. Shop U earned 40% more money than Shop V on Friday. On Saturday, Shop U lost $301 while Shop V earned another $409. In the end, Shop U contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop U earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop U
(1) |
Shop V
(2) |
Make p the same
(2)x5 = (4) |
| Before |
28 u |
7 u |
5 u |
25 u |
| Change |
- 1204 |
- 301 |
+ 409 |
+ 2045 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Simon earned from Shop V on Friday in percentage = 100%
Amount that Simon earned from Shop U on Friday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Simon earned from Shop V
= 1 -
59 =
49(3) = (4)
28 u - 1204 = 25 u + 2045
28 u - 25 u = 1204 + 2045
3 u = 3249
1 u = 3249 ÷ 3 = 1083
Amount that Simon earned from Shop U over the two days
= 7 u - 301
= 7 x 1083 - 301
= 7581 - 301
= $7280
Answer(s): $7280
