Rachel bought some Geography books at $20 each. She also bought an equal number of Maths books at a different price. The average price of one Geography and one Maths book was $12. Rachel paid $192 less for the Maths books than the Geography books.
- What was the cost of one Maths book?
- How many Geography books did Rachel buy?
|
Geography |
Maths |
Less |
Number |
1 u |
1 u |
|
Value |
$20 |
$4 |
|
Total value |
20 u |
4 u |
$192 |
(a)
Price of one Maths book
= 2 x 12 - 20
= 24 - 20
= $4
Amount that Rachel paid less for Maths books than Geography books
= 20 u - 4 u
= 16 u
16 u = 192
1 u = 192 ÷ 16 = 12
Number of Geography books that Rachel bought
= 1 u
= 12
Answer(s): (a) $4; (b) 12