Justin owned two shops selling souvenirs. Shop L earned 20% more money than Shop M on Monday. On Tuesday, Shop L lost $342 while Shop M earned another $205. 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 |
- 1710 |
- 342 |
+ 205 |
+ 820 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Justin earned from Shop M on Monday in percentage = 100%
Amount that Justin earned from Shop L on Monday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Justin earned from Shop M
= 1 -
49 =
59(3) = (4)
30 u - 1710 = 20 u + 820
30 u - 20 u = 1710 + 820
10 u = 2530
1 u = 2530 ÷ 10 = 253
Amount that Justin earned from Shop L over the two days
= 6 u - 342
= 6 x 253 - 342
= 1518 - 342
= $1176
Answer(s): $1176
