Sam owned two shops selling souvenirs. Shop E earned 20% more money than Shop F on Saturday. On Sunday, Shop E lost $280 while Shop F earned another $235. In the end, Shop E contributed to 49 of the total earnings of the two shops over the two days operation. How much did Shop E earn over the two days?
|
Make p the same (1)x5 = (3) |
E (1) |
F (2) |
Make p the same (2)x4 = (4) |
Before |
30 u |
6 u |
5 u |
20 u |
Change |
- 1400 |
- 280 |
+ 235 |
+ 940 |
After |
20 p |
4 p |
5 p |
20 p |
Amount that Sam earned from Shop F on Saturday in percentage = 100%
Amount that Sam earned from Shop E on Saturday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Sam earned from Shop F
= 1 -
49 =
59(3) = (4)
30 u - 1400 = 20 u + 940
30 u - 20 u = 1400 + 940
10 u = 2340
1 u = 2340 ÷ 10 = 234
Amount that Sam earned from Shop E over the two days
= 6 u - 280
= 6 x 234 - 280
= 1404 - 280
= $1124
Answer(s): $1124