Daniel owned two shops selling milk tea. Shop H earned 50% more money than Shop J on Thursday. On Friday, Shop H lost $255 while Shop J earned another $180. In the end, Shop H contributed to 49 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)x5 = (3) |
H
(1) |
J
(2) |
Make p the same
(2)x4 = (4) |
| Before |
15 u |
3 u |
2 u |
8 u |
| Change |
- 1275 |
- 255 |
+ 180 |
+ 720 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Daniel earned from Shop J on Thursday in percentage = 100%
Amount that Daniel earned from Shop H on Thursday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Daniel earned from Shop J
= 1 -
49 =
59(3) = (4)
15 u - 1275 = 8 u + 720
15 u - 8 u = 1275 + 720
7 u = 1995
1 u = 1995 ÷ 7 = 285
Amount that Daniel earned from Shop H over the two days
= 3 u - 255
= 3 x 285 - 255
= 855 - 255
= $600
Answer(s): $600
