Three types of curry powder, T, U and V come in containers of 100 g, 200 g and 250 g respectively. Containers of T, U and V are mixed together in the ratio 3 : 4 : 5 to obtain 18.8 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 |
3 u |
4 u |
5 u |
Value |
100 |
200 |
250 |
Total value |
300 u |
800 u |
1250 u |
(a)
Total mass of curry powder
= 300 u + 800 u + 1250 u
= 2350 u
2350 u = 18800
1 u = 18800 ÷ 2350 = 8
Total number of containers of T and U used
= 3 u + 4 u
= 7 u
= 7 x 8
= 56
(b)
Combined weight of all the curry powder in containers U and containers V
= 800 u + 1250 u
= 2050 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
= 2050 u - 300 u
= 1750 u
= 1750 x 8
= 14000 g
= 14 kg
Answer(s): (a) 56; (b) 14 kg