Three types of curry powder, D, E and F come in containers of 120 g, 210 g and 270 g respectively. Containers of D, E and F are mixed together in the ratio 2 : 3 : 5 to obtain 15.54 kg of an assortment of curry powder.
- How many containers of D and E are used altogether?
- Find the difference between the combined weight of all the curry powder in containers E and containers F as compared to the curry powder in containers D. Express the weight in kilograms.
|
D |
E |
F |
Number |
2 u |
3 u |
5 u |
Value |
120 |
210 |
270 |
Total value |
240 u |
630 u |
1350 u |
(a)
Total mass of curry powder
= 240 u + 630 u + 1350 u
= 2220 u
2220 u = 15540
1 u = 15540 ÷ 2220 = 7
Total number of containers of D and E used
= 2 u + 3 u
= 5 u
= 5 x 7
= 35
(b)
Combined weight of all the curry powder in containers E and containers F
= 630 u + 1350 u
= 1980 u
Difference between the combined weight of all the curry powder in containers E and containers F as compared to the curry powder in containers D
= 1980 u - 240 u
= 1740 u
= 1740 x 7
= 12180 g
= 12.18 kg
Answer(s): (a) 35; (b) 12.18 kg