Ahmad owned two shops selling electrical appliances. Shop M earned 30% more money than Shop N on Wednesday. On Thursday, Shop M lost $360 while Shop N earned another $430. In the end, Shop M contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop M earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop M
(1) |
Shop N
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 1440 |
- 360 |
+ 430 |
+ 2150 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Ahmad earned from Shop N on Wednesday in percentage = 100%
Amount that Ahmad earned from Shop M on Wednesday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Ahmad earned from Shop N
= 1 -
59 =
49(3) = (4)
52 u - 1440 = 50 u + 2150
52 u - 50 u = 1440 + 2150
2 u = 3590
1 u = 3590 ÷ 2 = 1795
Amount that Ahmad earned from Shop M over the two days
= 13 u - 360
= 13 x 1795 - 360
= 23335 - 360
= $22975
Answer(s): $22975
