Adam has some paint.
He uses
611 of it to paint 9 tables and 3 cupboards.
The amount of paint needed to paint a cupboard is 3 times that of a table.
- How many tables can he paint using the remaining paint?
- How many cupboards can he paint using the remaining paint?
|
Tables |
Cupboards |
Number |
9 |
3 |
Value |
1 u |
3 u |
Total value |
9 u |
9 u |
(a)
Paint needed for 1 table = 1 u
Paint needed for 1 cupboard = 3 u
Paint needed for 9 tables and 3 cupboards
= 9 x 1 u x 3 x 3 u
= 9 u + 9 u
= 18 u
611 of the paint = 18 u
111 of the paint = 18 u ÷ 6 = 3 u
Fraction of the remaining paint left
= 1 -
611=
511 511 of the paint = 5 x 3 u = 15 u
Remaining paint left = 15 u
Number of tables that Adam can paint with the remaining paint
= 15 u ÷ 1 u
= 15
(b)
Number of cupboards that Adam can paint with the remaining paint
= 15 u ÷ 3 u
= 5
Answer(s): (a) 15; (b) 5