47 of Neave's savings comprised of 20-cent coins and 10-cent coins. Neave used some 20-cent coins to purchase a frisbee. The number of 10-cent coins left was 40% more than the number of 20-cent coins left. Given that Neave had 30 more 10-cent coins than 20-cent coins left in the end, find the amount of money Neave spent on the frisbee.
|
20-cent coins |
10-cent coins |
Before |
4x7 = 28 u |
3x7 = 21 u |
Change |
- 13 u |
|
After |
5x3 = 15 u |
7x3 = 21 u |
Fraction of Neave's savings that comprised of 10-cent coins
= 1 -
47=
37Number of 10-cents coins in the end in percentage
= 100% + 40%
= 140%
140% =
140100 =
75Number of 10-cent coins remains unchanged. Make the number of 10-cent coins the same. LCM of 3 and 7 is 21.
Number of more 10-cent coins than 20-cent coins
= 21 u - 15 u
= 6 u
6 u = 30
1 u = 30 ÷ 6 = 5
Number of 20-cent coins spent on the frisbee
= 28 u - 15 u
= 13 u
= 13 x 5
= 65
Amount that Neave spent on the frisbee
= 65 x 0.2
= $13
Answer(s): $13