Adam has some paint.
He uses
25 of it to paint 4 desks and 2 cabinets.
The amount of paint needed to paint a cabinet is 2 times that of a desk.
- How many desks can he paint using the remaining paint?
- How many cabinets can he paint using the remaining paint?
|
Desks |
Cabinets |
Number |
4 |
2 |
Value |
1 u |
2 u |
Total value |
4 u |
4 u |
(a)
Paint needed for 1 desk = 1 u
Paint needed for 1 cabinet = 2 u
Paint needed for 4 desks and 2 cabinets
= 4 x 1 u x 2 x 2 u
= 4 u + 4 u
= 8 u
25 of the paint = 8 u
15 of the paint = 8 u ÷ 2 = 4 u
Fraction of the remaining paint left
= 1 -
25=
35 35 of the paint = 3 x 4 u = 12 u
Remaining paint left = 12 u
Number of desks that Adam can paint with the remaining paint
= 12 u ÷ 1 u
= 12
(b)
Number of cabinets that Adam can paint with the remaining paint
= 12 u ÷ 2 u
= 6
Answer(s): (a) 12; (b) 6