David owned two shops selling flowers. Shop H earned 30% more money than Shop J on Thursday. On Friday, Shop H lost $415 while Shop J earned another $223. In the end, Shop H contributed to 25 of the total earnings of the two shops over the two days operation. How much did Shop H earn over the two days?
| |
Make p the same
(1)x3 = (3) |
Shop H
(1) |
Shop J
(2) |
Make p the same
(2)x2 = (4) |
| Before |
39 u |
13 u |
10 u |
20 u |
| Change |
- 1245 |
- 415 |
+ 223 |
+ 446 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that David earned from Shop J on Thursday in percentage = 100%
Amount that David earned from Shop H on Thursday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that David earned from Shop J
= 1 -
25 =
35(3) = (4)
39 u - 1245 = 20 u + 446
39 u - 20 u = 1245 + 446
19 u = 1691
1 u = 1691 ÷ 19 = 89
Amount that David earned from Shop H over the two days
= 13 u - 415
= 13 x 89 - 415
= 1157 - 415
= $742
Answer(s): $742
