Adam has some paint.
He uses
23 of it to paint 10 cabinets and 6 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 |
10 |
6 |
Value |
1 u |
5 u |
Total value |
10 u |
30 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 desk = 5 u
Paint needed for 10 cabinets and 6 desks
= 10 x 1 u x 6 x 5 u
= 10 u + 30 u
= 40 u
23 of the paint = 40 u
13 of the paint = 40 u ÷ 2 = 20 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 20 u = 20 u
Remaining paint left = 20 u
Number of cabinets that Adam can paint with the remaining paint
= 20 u ÷ 1 u
= 20
(b)
Number of desks that Adam can paint with the remaining paint
= 20 u ÷ 5 u
= 4
Answer(s): (a) 20; (b) 4