Gwen bought some Geography books at $13 each. She also bought an equal number of Physics books at a different price. The average price of one Geography and one Physics book was $9. Gwen paid $32 more for the Geography books than the Physics books.
- What was the cost of one Physics book?
- How many Geography books did Gwen buy?
|
Geography |
Physics |
More |
Number |
1 u |
1 u |
|
Value |
$13 |
$5 |
|
Total value |
13 u |
5 u |
$32 |
(a)
Price of one Physics book
= 2 x 9 - 13
= 18 - 13
= $5
Amount that Gwen paid more for Geography books than Physics books
= 13 u - 5 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Number of Geography books that Gwen bought
= 1 u
= 4
Answer(s): (a) $5; (b) 4