Seth owned two shops selling milk tea. Shop M earned 40% more money than Shop N on Monday. On Tuesday, Shop M lost $140 while Shop N earned another $68. 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 |
- 560 |
- 140 |
+ 68 |
+ 340 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Seth earned from Shop N on Monday in percentage = 100%
Amount that Seth earned from Shop M on Monday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Seth earned from Shop N
= 1 -
59 =
49(3) = (4)
28 u - 560 = 25 u + 340
28 u - 25 u = 560 + 340
3 u = 900
1 u = 900 ÷ 3 = 300
Amount that Seth earned from Shop M over the two days
= 7 u - 140
= 7 x 300 - 140
= 2100 - 140
= $1960
Answer(s): $1960
