Adam has some paint.
He uses
23 of it to paint 3 cabinets and 9 desks.
The amount of paint needed to paint a desk is 3 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 |
3 |
9 |
Value |
1 u |
3 u |
Total value |
3 u |
27 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 desk = 3 u
Paint needed for 3 cabinets and 9 desks
= 3 x 1 u x 9 x 3 u
= 3 u + 27 u
= 30 u
23 of the paint = 30 u
13 of the paint = 30 u ÷ 2 = 15 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 15 u = 15 u
Remaining paint left = 15 u
Number of cabinets that Adam can paint with the remaining paint
= 15 u ÷ 1 u
= 15
(b)
Number of desks that Adam can paint with the remaining paint
= 15 u ÷ 3 u
= 5
Answer(s): (a) 15; (b) 5