Julian owned two shops selling computers. Shop F earned 25% more money than Shop G on Saturday. On Sunday, Shop F lost $151 while Shop G earned another $169. In the end, Shop F contributed to 49 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)x5 = (3) |
F
(1) |
G
(2) |
Make p the same
(2)x4 = (4) |
| Before |
25 u |
5 u |
4 u |
16 u |
| Change |
- 755 |
- 151 |
+ 169 |
+ 676 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Julian earned from Shop G on Saturday in percentage = 100%
Amount that Julian earned from Shop F on Saturday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Julian earned from Shop G
= 1 -
49 =
59(3) = (4)
25 u - 755 = 16 u + 676
25 u - 16 u = 755 + 676
9 u = 1431
1 u = 1431 ÷ 9 = 159
Amount that Julian earned from Shop F over the two days
= 5 u - 151
= 5 x 159 - 151
= 795 - 151
= $644
Answer(s): $644
