Fill in the blanks.
Adam receives some allowance.
If he increases his spending by 10%,
his savings decreases by 90%.
- Amount of spending = _____ u
- Amount of savings = _____ u
- Total amount of allowance = _____ u
- Difference in the amount of spending and savings = _____ u
|
Spending |
Savings |
Before |
10 x 9 = 90 u |
10 x 1 = 10 u |
If change |
+ 1 x 9 = + 9 u |
- 9 x 1 = - 9 u |
After |
11 x 9 = 99 u |
1 x 1 = 1 u |
(a)
Change percentage into units.
10% of spending = 90% of savings
110 of spending =
910 of savings
Make the numerators the same.
LCM of 1 and 9 = 9
1 x 910 x 9 of spending =
9 x 110 x 1 of savings
990 of spending =
910 of savings
Amount of spending = 90 u
(b)
Amount of savings = 10 u
(c)
Total amount of allowance
= 90 u + 10 u
= 100 u
(d)
Difference in the amount of spending and savings
= 90 u - 10 u
= 80 u
Answer(s): (a) 90; (b) 10; (c) 100; (d) 80