Daniel owned two shops selling toys. Shop L earned 20% more money than Shop M on Friday. On Saturday, Shop L lost $242 while Shop M earned another $255. In the end, Shop L contributed to 49 of the total earnings of the two shops over the two days operation. How much did Shop L earn over the two days?
| |
Make p the same
(1)x5 = (3) |
L
(1) |
M
(2) |
Make p the same
(2)x4 = (4) |
| Before |
30 u |
6 u |
5 u |
20 u |
| Change |
- 1210 |
- 242 |
+ 255 |
+ 1020 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Daniel earned from Shop M on Friday in percentage = 100%
Amount that Daniel earned from Shop L on Friday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Daniel earned from Shop M
= 1 -
49 =
59(3) = (4)
30 u - 1210 = 20 u + 1020
30 u - 20 u = 1210 + 1020
10 u = 2230
1 u = 2230 ÷ 10 = 223
Amount that Daniel earned from Shop L over the two days
= 6 u - 242
= 6 x 223 - 242
= 1338 - 242
= $1096
Answer(s): $1096
