Answer :
Answer:
A knife costs £2.88.
Step-by-step explanation:
Create two equations using what you know to show the problem.
k = 2s
12k + 8s = 46.08
Substitute the first equation in for k, then isolate s to find how much spoons cost.
12(2s) + 8s = 46.08
24s + 8s = 46.08
32s = 46.08
s = 1.44
A spoon costs £1.44. To find the price of a knife, double the cost of a spoon:
1.44 * 2 = 2.88
A knife costs £2.88.
So most people do Simultaneous equations and ratios (had this question in a test today)
I did 12x2=24 this is to make them equal to spoons
Then 24+8=32 so theres 32 spoons
Then 46.08 divided by 32=1.44
So 1 spoon costs £1.44
Then 1.44x2=2.88
So 1 knife costs £2.88