Penelope bought some Literature books at $16 each. She also bought an equal number of Physics books at a different price. The average price of one Literature and one Physics book was $10. Penelope paid $84 more for the Literature books than the Physics books.
- What was the cost of one Physics book?
- How many Literature books did Penelope buy?
|
Literature |
Physics |
More |
Number |
1 u |
1 u |
|
Value |
$16 |
$4 |
|
Total value |
16 u |
4 u |
$84 |
(a)
Price of one Physics book
= 2 x 10 - 16
= 20 - 16
= $4
Amount that Penelope paid more for Literature books than Physics books
= 16 u - 4 u
= 12 u
12 u = 84
1 u = 84 ÷ 12 = 7
Number of Literature books that Penelope bought
= 1 u
= 7
Answer(s): (a) $4; (b) 7