A knife is three times the cost of a spoon. 9 spoons and 12 knives cost £82.80. Work out the cost of 1 knife.
Answers
Answer:
1 knife = 3 spoon at same price
and , 9 spoon + 12 knife = 82.80
3 knife + 12 knife = 82.80. ( 1 knife = 3 spoon )
15 knife = 82.80
1 knife = 82.80 /15
1 knife = £5.52
Answer:
x = 1.84x=1.84
Step-by-step explanation:
The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.
Given :
A knife is 3 times the cost of the spoon.
9 spoons and 12 knives costs £82.80.
Solution :
This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
Linear calculations that requires more than one variable can be done with the help of linear equations.
The standard form of a linear equation in one variable is ax + b = 0.
Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.
9x + 12\times(3x)= 82.809x+12×(3x)=82.80
9x + 36x = 82.809x+36x=82.80
45x =82.8045x=82.80
x = 1.84x=1.84
Therefore the cost of 1 knife = 1.84\times 3 = 5.521.84×3=5.52 .