Three types of curry powder, N, P and Q come in containers of 120 g, 180 g and 210 g respectively. Containers of N, P and Q are mixed together in the ratio 3 : 5 : 6 to obtain 12.6 kg of an assortment of curry powder.
- How many containers of N and P are used altogether?
- Find the difference between the combined weight of all the curry powder in containers P and containers Q as compared to the curry powder in containers N. Express the weight in kilograms.
|
N |
P |
Q |
Number |
3 u |
5 u |
6 u |
Value |
120 |
180 |
210 |
Total value |
360 u |
900 u |
1260 u |
(a)
Total mass of curry powder
= 360 u + 900 u + 1260 u
= 2520 u
2520 u = 12600
1 u = 12600 ÷ 2520 = 5
Total number of containers of N and P used
= 3 u + 5 u
= 8 u
= 8 x 5
= 40
(b)
Combined weight of all the curry powder in containers P and containers Q
= 900 u + 1260 u
= 2160 u
Difference between the combined weight of all the curry powder in containers P and containers Q as compared to the curry powder in containers N
= 2160 u - 360 u
= 1800 u
= 1800 x 5
= 9000 g
= 9 kg
Answer(s): (a) 40; (b) 9 kg