Gillian bought some Maths books at $16 each. She also bought an equal number of Physics books at a different price. The average price of one Maths and one Physics book was $10. Gillian paid $108 less for the Physics books than the Maths books.
- What was the cost of one Physics book?
- How many Maths books did Gillian buy?
|
Maths |
Physics |
Less |
Number |
1 u |
1 u |
|
Value |
$16 |
$4 |
|
Total value |
16 u |
4 u |
$108 |
(a)
Price of one Physics book
= 2 x 10 - 16
= 20 - 16
= $4
Amount that Gillian paid less for Physics books than Maths books
= 16 u - 4 u
= 12 u
12 u = 108
1 u = 108 ÷ 12 = 9
Number of Maths books that Gillian bought
= 1 u
= 9
Answer(s): (a) $4; (b) 9