Archie owned two shops selling stationery. Shop L earned 50% more money than Shop M on Thursday. On Friday, Shop L lost $172 while Shop M earned another $399. In the end, Shop L contributed to 211 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)x9 = (3) |
L
(1) |
M
(2) |
Make p the same
(2)x2 = (4) |
| Before |
27 u |
3 u |
2 u |
4 u |
| Change |
- 1548 |
- 172 |
+ 399 |
+ 798 |
| After |
18 p |
2 p |
9 p |
18 p |
Amount that Archie earned from Shop M on Thursday in percentage = 100%
Amount that Archie earned from Shop L on Thursday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Archie earned from Shop M
= 1 -
211 =
911(3) = (4)
27 u - 1548 = 4 u + 798
27 u - 4 u = 1548 + 798
23 u = 2346
1 u = 2346 ÷ 23 = 102
Amount that Archie earned from Shop L over the two days
= 3 u - 172
= 3 x 102 - 172
= 306 - 172
= $134
Answer(s): $134
