Zane owned two shops selling electrical appliances. Shop R earned 20% more money than Shop S on Thursday. On Friday, Shop R lost $140 while Shop S earned another $314. In the end, Shop R contributed to 512 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)x7 = (3) |
R
(1) |
S
(2) |
Make p the same
(2)x5 = (4) |
| Before |
42 u |
6 u |
5 u |
25 u |
| Change |
- 980 |
- 140 |
+ 314 |
+ 1570 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Zane earned from Shop S on Thursday in percentage = 100%
Amount that Zane earned from Shop R on Thursday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Zane earned from Shop S
= 1 -
512 =
712(3) = (4)
42 u - 980 = 25 u + 1570
42 u - 25 u = 980 + 1570
17 u = 2550
1 u = 2550 ÷ 17 = 150
Amount that Zane earned from Shop R over the two days
= 6 u - 140
= 6 x 150 - 140
= 900 - 140
= $760
Answer(s): $760
