Julian owned two shops selling carpets. Shop F earned 50% more money than Shop G on Friday. On Saturday, Shop F lost $375 while Shop G earned another $201. In the end, Shop F contributed to 512 of the total earnings of the two shops over the two days operation. How much did Shop F earn over the two days?
| |
Make p the same
(1)x7 = (3) |
F
(1) |
G
(2) |
Make p the same
(2)x5 = (4) |
| Before |
21 u |
3 u |
2 u |
10 u |
| Change |
- 2625 |
- 375 |
+ 201 |
+ 1005 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Julian earned from Shop G on Friday in percentage = 100%
Amount that Julian earned from Shop F on Friday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Julian earned from Shop G
= 1 -
512 =
712(3) = (4)
21 u - 2625 = 10 u + 1005
21 u - 10 u = 2625 + 1005
11 u = 3630
1 u = 3630 ÷ 11 = 330
Amount that Julian earned from Shop F over the two days
= 3 u - 375
= 3 x 330 - 375
= 990 - 375
= $615
Answer(s): $615
