Diana bought some Biology books at $14 each. She also bought an equal number of Geography books at a different price. The average price of one Biology and one Geography book was $10. Diana paid $32 less for the Geography books than the Biology books.
- What was the cost of one Geography book?
- How many Biology books did Diana buy?
|
Biology |
Geography |
Less |
Number |
1 u |
1 u |
|
Value |
$14 |
$6 |
|
Total value |
14 u |
6 u |
$32 |
(a)
Price of one Geography book
= 2 x 10 - 14
= 20 - 14
= $6
Amount that Diana paid less for Geography books than Biology books
= 14 u - 6 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Number of Biology books that Diana bought
= 1 u
= 4
Answer(s): (a) $6; (b) 4