Adam has some paint.
He uses
1112 of it to paint 3 cabinets and 10 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 |
10 |
Value |
1 u |
3 u |
Total value |
3 u |
30 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 desk = 3 u
Paint needed for 3 cabinets and 10 desks
= 3 x 1 u x 10 x 3 u
= 3 u + 30 u
= 33 u
1112 of the paint = 33 u
112 of the paint = 33 u ÷ 11 = 3 u
Fraction of the remaining paint left
= 1 -
1112=
112 112 of the paint = 1 x 3 u = 3 u
Remaining paint left = 3 u
Number of cabinets that Adam can paint with the remaining paint
= 3 u ÷ 1 u
= 3
(b)
Number of desks that Adam can paint with the remaining paint
= 3 u ÷ 3 u
= 1
Answer(s): (a) 3; (b) 1