Elijah owned two shops selling milk tea. Shop M earned 30% more money than Shop N on Thursday. On Friday, Shop M lost $149 while Shop N earned another $226. 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 |
- 596 |
- 149 |
+ 226 |
+ 1130 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Elijah earned from Shop N on Thursday in percentage = 100%
Amount that Elijah earned from Shop M on Thursday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Elijah earned from Shop N
= 1 -
59 =
49(3) = (4)
52 u - 596 = 50 u + 1130
52 u - 50 u = 596 + 1130
2 u = 1726
1 u = 1726 ÷ 2 = 863
Amount that Elijah earned from Shop M over the two days
= 13 u - 149
= 13 x 863 - 149
= 11219 - 149
= $11070
Answer(s): $11070
