Adam has some paint.
He uses
25 of it to paint 8 cabinets and 2 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 |
8 |
2 |
Value |
1 u |
3 u |
Total value |
8 u |
6 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 desk = 3 u
Paint needed for 8 cabinets and 2 desks
= 8 x 1 u x 2 x 3 u
= 8 u + 6 u
= 14 u
25 of the paint = 14 u
15 of the paint = 14 u ÷ 2 = 7 u
Fraction of the remaining paint left
= 1 -
25=
35 35 of the paint = 3 x 7 u = 21 u
Remaining paint left = 21 u
Number of cabinets that Adam can paint with the remaining paint
= 21 u ÷ 1 u
= 21
(b)
Number of desks that Adam can paint with the remaining paint
= 21 u ÷ 3 u
= 7
Answer(s): (a) 21; (b) 7