Ryan owned two shops selling eyewear. Shop F earned 20% more money than Shop G on Monday. On Tuesday, Shop F lost $148 while Shop G earned another $100. 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 |
30 u |
6 u |
5 u |
20 u |
| Change |
- 740 |
- 148 |
+ 100 |
+ 400 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Ryan earned from Shop G on Monday in percentage = 100%
Amount that Ryan earned from Shop F on Monday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Ryan earned from Shop G
= 1 -
49 =
59(3) = (4)
30 u - 740 = 20 u + 400
30 u - 20 u = 740 + 400
10 u = 1140
1 u = 1140 ÷ 10 = 114
Amount that Ryan earned from Shop F over the two days
= 6 u - 148
= 6 x 114 - 148
= 684 - 148
= $536
Answer(s): $536
