Rachel bought some Maths books at $11 each. She also bought an equal number of Japanese books at a different price. The average price of one Maths and one Japanese book was $7. Rachel paid $64 more for the Maths books than the Japanese books.
- What was the cost of one Japanese book?
- How many Maths books did Rachel buy?
|
Maths |
Japanese |
More |
Number |
1 u |
1 u |
|
Value |
$11 |
$3 |
|
Total value |
11 u |
3 u |
$64 |
(a)
Price of one Japanese book
= 2 x 7 - 11
= 14 - 11
= $3
Amount that Rachel paid more for Maths books than Japanese books
= 11 u - 3 u
= 8 u
8 u = 64
1 u = 64 ÷ 8 = 8
Number of Maths books that Rachel bought
= 1 u
= 8
Answer(s): (a) $3; (b) 8