Fill in the blanks.
Adam receives some allowance.
If he increases his savings by 10%,
his spending decreases by 30%.
- Amount of savings = _____ u
- Amount of spending = _____ u
- Total amount of allowance = _____ u
- Difference in the amount of savings and spending = _____ u
|
Savings |
Spending |
Before |
10 x 3 = 30 u |
10 x 1 = 10 u |
If change |
+ 1 x 3 = + 3 u |
- 3 x 1 = - 3 u |
After |
11 x 3 = 33 u |
7 x 1 = 7 u |
(a)
Change percentage into units.
10% of savings = 30% of spending
110 of savings =
310 of spending
Make the numerators the same.
LCM of 1 and 3 = 3
1 x 310 x 3 of savings =
3 x 110 x 1 of spending
330 of savings =
310 of spending
Amount of savings = 30 u
(b)
Amount of spending = 10 u
(c)
Total amount of allowance
= 30 u + 10 u
= 40 u
(d)
Difference in the amount of savings and spending
= 30 u - 10 u
= 20 u
Answer(s): (a) 30; (b) 10; (c) 40; (d) 20