Luke owned two shops selling flowers. Shop E earned 40% more money than Shop F on Saturday. On Sunday, Shop E lost $426 while Shop F earned another $450. In the end, Shop E contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop E earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop E
(1) |
Shop F
(2) |
Make p the same
(2)x5 = (4) |
| Before |
28 u |
7 u |
5 u |
25 u |
| Change |
- 1704 |
- 426 |
+ 450 |
+ 2250 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Luke earned from Shop F on Saturday in percentage = 100%
Amount that Luke earned from Shop E on Saturday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Luke earned from Shop F
= 1 -
59 =
49(3) = (4)
28 u - 1704 = 25 u + 2250
28 u - 25 u = 1704 + 2250
3 u = 3954
1 u = 3954 ÷ 3 = 1318
Amount that Luke earned from Shop E over the two days
= 7 u - 426
= 7 x 1318 - 426
= 9226 - 426
= $8800
Answer(s): $8800
