Adam has some paint.
He uses
49 of it to paint 9 cabinets and 3 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 |
9 |
3 |
Value |
1 u |
5 u |
Total value |
9 u |
15 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 desk = 5 u
Paint needed for 9 cabinets and 3 desks
= 9 x 1 u x 3 x 5 u
= 9 u + 15 u
= 24 u
49 of the paint = 24 u
19 of the paint = 24 u ÷ 4 = 6 u
Fraction of the remaining paint left
= 1 -
49=
59 59 of the paint = 5 x 6 u = 30 u
Remaining paint left = 30 u
Number of cabinets that Adam can paint with the remaining paint
= 30 u ÷ 1 u
= 30
(b)
Number of desks that Adam can paint with the remaining paint
= 30 u ÷ 5 u
= 6
Answer(s): (a) 30; (b) 6