Gem bought some Social Science books at $17 each. She also bought an equal number of Literature books at a different price. The average price of one Social Science and one Literature book was $11. Gem paid $36 more for the Social Science books than the Literature books.
- What was the cost of one Literature book?
- How many Social Science books did Gem buy?
|
Social Science |
Literature |
More |
Number |
1 u |
1 u |
|
Value |
$17 |
$5 |
|
Total value |
17 u |
5 u |
$36 |
(a)
Price of one Literature book
= 2 x 11 - 17
= 22 - 17
= $5
Amount that Gem paid more for Social Science books than Literature books
= 17 u - 5 u
= 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Number of Social Science books that Gem bought
= 1 u
= 3
Answer(s): (a) $5; (b) 3