Adam has some paint.
He uses
34 of it to paint 5 cabinets and 2 desks.
The amount of paint needed to paint a desk is 5 times that of a cabinet.
- How many cabinets can he paint using the remaining paint?
- How many desks can he paint using the remaining paint?
|
Cabinets |
Desks |
Number |
5 |
2 |
Value |
1 u |
5 u |
Total value |
5 u |
10 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 desk = 5 u
Paint needed for 5 cabinets and 2 desks
= 5 x 1 u x 2 x 5 u
= 5 u + 10 u
= 15 u
34 of the paint = 15 u
14 of the paint = 15 u ÷ 3 = 5 u
Fraction of the remaining paint left
= 1 -
34=
14 14 of the paint = 1 x 5 u = 5 u
Remaining paint left = 5 u
Number of cabinets that Adam can paint with the remaining paint
= 5 u ÷ 1 u
= 5
(b)
Number of desks that Adam can paint with the remaining paint
= 5 u ÷ 5 u
= 1
Answer(s): (a) 5; (b) 1