Cody owned two shops selling souvenirs. Shop F earned 40% more money than Shop G on Wednesday. On Thursday, Shop F lost $351 while Shop G earned another $354. In the end, Shop F contributed to 59 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)x4 = (3) |
Shop F
(1) |
Shop G
(2) |
Make p the same
(2)x5 = (4) |
| Before |
28 u |
7 u |
5 u |
25 u |
| Change |
- 1404 |
- 351 |
+ 354 |
+ 1770 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Cody earned from Shop G on Wednesday in percentage = 100%
Amount that Cody earned from Shop F on Wednesday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Cody earned from Shop G
= 1 -
59 =
49(3) = (4)
28 u - 1404 = 25 u + 1770
28 u - 25 u = 1404 + 1770
3 u = 3174
1 u = 3174 ÷ 3 = 1058
Amount that Cody earned from Shop F over the two days
= 7 u - 351
= 7 x 1058 - 351
= 7406 - 351
= $7055
Answer(s): $7055
