Harry owned two shops selling jewellery. Shop U earned 25% more money than Shop V on Friday. On Saturday, Shop U lost $210 while Shop V earned another $390. 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 |
- 1050 |
- 210 |
+ 390 |
+ 1560 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Harry earned from Shop V on Friday in percentage = 100%
Amount that Harry earned from Shop U on Friday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Harry earned from Shop V
= 1 -
49 =
59(3) = (4)
25 u - 1050 = 16 u + 1560
25 u - 16 u = 1050 + 1560
9 u = 2610
1 u = 2610 ÷ 9 = 290
Amount that Harry earned from Shop U over the two days
= 5 u - 210
= 5 x 290 - 210
= 1450 - 210
= $1240
Answer(s): $1240
