Daniel owned two shops selling handbags. Shop R earned 40% more money than Shop S on Monday. On Tuesday, Shop R lost $305 while Shop S earned another $465. In the end, Shop R contributed to 38 of the total earnings of the two shops over the two days operation. How much did Shop R earn over the two days?
| |
Make p the same
(1)x5 = (3) |
Shop R
(1) |
Shop S
(2) |
Make p the same
(2)x3 = (4) |
| Before |
35 u |
7 u |
5 u |
15 u |
| Change |
- 1525 |
- 305 |
+ 465 |
+ 1395 |
| After |
15 p |
3 p |
5 p |
15 p |
Amount that Daniel earned from Shop S on Monday in percentage = 100%
Amount that Daniel earned from Shop R on Monday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Daniel earned from Shop S
= 1 -
38 =
58(3) = (4)
35 u - 1525 = 15 u + 1395
35 u - 15 u = 1525 + 1395
20 u = 2920
1 u = 2920 ÷ 20 = 146
Amount that Daniel earned from Shop R over the two days
= 7 u - 305
= 7 x 146 - 305
= 1022 - 305
= $717
Answer(s): $717
