Adam has some paint.
He uses
57 of it to paint 5 desks and 9 cabinets.
The amount of paint needed to paint a cabinet is 5 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 |
5 |
9 |
Value |
1 u |
5 u |
Total value |
5 u |
45 u |
(a)
Paint needed for 1 desk = 1 u
Paint needed for 1 cabinet = 5 u
Paint needed for 5 desks and 9 cabinets
= 5 x 1 u x 9 x 5 u
= 5 u + 45 u
= 50 u
57 of the paint = 50 u
17 of the paint = 50 u ÷ 5 = 10 u
Fraction of the remaining paint left
= 1 -
57=
27 27 of the paint = 2 x 10 u = 20 u
Remaining paint left = 20 u
Number of desks that Adam can paint with the remaining paint
= 20 u ÷ 1 u
= 20
(b)
Number of cabinets that Adam can paint with the remaining paint
= 20 u ÷ 5 u
= 4
Answer(s): (a) 20; (b) 4