Henry owned two shops selling handbags. Shop F earned 30% more money than Shop G on Friday. On Saturday, Shop F lost $230 while Shop G earned another $375. In the end, Shop F contributed to 38 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) |
Shop F
(1) |
Shop G
(2) |
Make p the same
(2)x3 = (4) |
| Before |
65 u |
13 u |
10 u |
30 u |
| Change |
- 1150 |
- 230 |
+ 375 |
+ 1125 |
| After |
15 p |
3 p |
5 p |
15 p |
Amount that Henry earned from Shop G on Friday in percentage = 100%
Amount that Henry earned from Shop F on Friday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Henry earned from Shop G
= 1 -
38 =
58(3) = (4)
65 u - 1150 = 30 u + 1125
65 u - 30 u = 1150 + 1125
35 u = 2275
1 u = 2275 ÷ 35 = 65
Amount that Henry earned from Shop F over the two days
= 13 u - 230
= 13 x 65 - 230
= 845 - 230
= $615
Answer(s): $615
