Zane owned two shops selling toys. Shop E earned 25% more money than Shop F on Thursday. On Friday, Shop E lost $126 while Shop F earned another $189. In the end, Shop E contributed to 25 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)x3 = (3) |
E (1) |
F (2) |
Make p the same (2)x2 = (4) |
Before |
15 u |
5 u |
4 u |
8 u |
Change |
- 378 |
- 126 |
+ 189 |
+ 378 |
After |
6 p |
2 p |
3 p |
6 p |
Amount that Zane earned from Shop F on Thursday in percentage = 100%
Amount that Zane earned from Shop E on Thursday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Zane earned from Shop F
= 1 -
25 =
35(3) = (4)
15 u - 378 = 8 u + 378
15 u - 8 u = 378 + 378
7 u = 756
1 u = 756 ÷ 7 = 108
Amount that Zane earned from Shop E over the two days
= 5 u - 126
= 5 x 108 - 126
= 540 - 126
= $414
Answer(s): $414