A philanthropist bought a total of $8148 worth of toys, textbooks and clothes to donate to the needy children. The number of clothes bought was 25% more than the number of toys bought but 25% fewer than the number of textbooks bought. The toy cost $15 each and was $6 more expensive than each textbook but 40% cheaper than each piece of clothes. How many toys and textbooks did the philanthropist donate to the needy children?
Toys |
Clothes |
Textbooks |
4x3 |
1x3 |
|
|
3x1 |
4x1 |
12 u |
3 u |
4 u |
100% + 25% = 125%
125% =
125100 = 1
14 100% - 25% = 75%
75% =
75100 =
34The number of clothes is the repeated identity. Make the number of clothes the same. LCM of 1 and 3 is 3.
Price of each textbook
= 15 - 6
= $9
100% - 40% = 60%
60% of price of toys = $15
1% of the price of toys =
1560 100% of the price of toys =
1560 x 100 = $25
Price of each piece of clothes = $25
|
Toys |
Clothes |
Textbooks |
Number |
12 u |
3 u |
4 u |
Value |
15 |
25 |
9 |
Total value |
180 u |
75 u |
36 u |
Total amount spent
= 4 u x 9 + 12 u x 15 + 3 u x 25
= 36 u + 180 u + 75 u
= 291 u
291 u = 8148
1 u = 8148 ÷ 291 = 28
Number of toys and textbooks
= 25 u + 4 u
= 29 u
= 29 x 28
= 812
Answer(s): 812