Daniel owned two shops selling eyewear. Shop M earned 40% more money than Shop N on Friday. On Saturday, Shop M lost $153 while Shop N earned another $393. 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 |
28 u |
7 u |
5 u |
25 u |
Change |
- 612 |
- 153 |
+ 393 |
+ 1965 |
After |
20 p |
5 p |
4 p |
20 p |
Amount that Daniel earned from Shop N on Friday in percentage = 100%
Amount that Daniel earned from Shop M on Friday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Daniel earned from Shop N
= 1 -
59 =
49(3) = (4)
28 u - 612 = 25 u + 1965
28 u - 25 u = 612 + 1965
3 u = 2577
1 u = 2577 ÷ 3 = 859
Amount that Daniel earned from Shop M over the two days
= 7 u - 153
= 7 x 859 - 153
= 6013 - 153
= $5860
Answer(s): $5860