Three types of curry powder, T, U and V come in containers of 90 g, 150 g and 240 g respectively. Containers of T, U and V are mixed together in the ratio 2 : 4 : 5 to obtain 21.78 kg of an assortment of curry powder.
- How many containers of T and U are used altogether?
- Find the difference between the combined weight of all the curry powder in containers U and containers V as compared to the curry powder in containers T. Express the weight in kilograms.
|
T |
U |
V |
Number |
2 u |
4 u |
5 u |
Value |
90 |
150 |
240 |
Total value |
180 u |
600 u |
1200 u |
(a)
Total mass of curry powder
= 180 u + 600 u + 1200 u
= 1980 u
1980 u = 21780
1 u = 21780 ÷ 1980 = 11
Total number of containers of T and U used
= 2 u + 4 u
= 6 u
= 6 x 11
= 66
(b)
Combined weight of all the curry powder in containers U and containers V
= 600 u + 1200 u
= 1800 u
Difference between the combined weight of all the curry powder in containers U and containers V as compared to the curry powder in containers T
= 1800 u - 180 u
= 1620 u
= 1620 x 11
= 17820 g
= 17.82 kg
Answer(s): (a) 66; (b) 17.82 kg