Warren owned two shops selling watches. Shop U earned 25% more money than Shop V on Tuesday. On Wednesday, Shop U lost $332 while Shop V earned another $134. In the end, Shop U contributed to 49 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)x5 = (3) |
U
(1) |
V
(2) |
Make p the same
(2)x4 = (4) |
| Before |
25 u |
5 u |
4 u |
16 u |
| Change |
- 1660 |
- 332 |
+ 134 |
+ 536 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Warren earned from Shop V on Tuesday in percentage = 100%
Amount that Warren earned from Shop U on Tuesday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Warren earned from Shop V
= 1 -
49 =
59(3) = (4)
25 u - 1660 = 16 u + 536
25 u - 16 u = 1660 + 536
9 u = 2196
1 u = 2196 ÷ 9 = 244
Amount that Warren earned from Shop U over the two days
= 5 u - 332
= 5 x 244 - 332
= 1220 - 332
= $888
Answer(s): $888
