Ahmad owned two shops selling watches. Shop U earned 25% more money than Shop V on Tuesday. On Wednesday, Shop U lost $284 while Shop V earned another $372. In the end, Shop U contributed to 311 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)x8 = (3) |
U
(1) |
V
(2) |
Make p the same
(2)x3 = (4) |
| Before |
40 u |
5 u |
4 u |
12 u |
| Change |
- 2272 |
- 284 |
+ 372 |
+ 1116 |
| After |
24 p |
3 p |
8 p |
24 p |
Amount that Ahmad earned from Shop V on Tuesday in percentage = 100%
Amount that Ahmad earned from Shop U on Tuesday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Ahmad earned from Shop V
= 1 -
311 =
811(3) = (4)
40 u - 2272 = 12 u + 1116
40 u - 12 u = 2272 + 1116
28 u = 3388
1 u = 3388 ÷ 28 = 121
Amount that Ahmad earned from Shop U over the two days
= 5 u - 284
= 5 x 121 - 284
= 605 - 284
= $321
Answer(s): $321
