Adam has some paint.
He uses
711 of it to paint 5 cupboards and 6 cabinets.
The amount of paint needed to paint a cabinet is 5 times that of a cupboard.
- How many cupboards can he paint using the remaining paint?
- How many cabinets can he paint using the remaining paint?
|
Cupboards |
Cabinets |
Number |
5 |
6 |
Value |
1 u |
5 u |
Total value |
5 u |
30 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 cabinet = 5 u
Paint needed for 5 cupboards and 6 cabinets
= 5 x 1 u x 6 x 5 u
= 5 u + 30 u
= 35 u
711 of the paint = 35 u
111 of the paint = 35 u ÷ 7 = 5 u
Fraction of the remaining paint left
= 1 -
711=
411 411 of the paint = 4 x 5 u = 20 u
Remaining paint left = 20 u
Number of cupboards 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