Question

The fishmonger sold codfish for 7 pence each and mussels for 1pence each. if harriet bought a total of 26 items and spent 86 pence, how many codfish did she buy?

Answer 1

Harriet brought 10 codfish and 16 mussel with the amount if 86 pence.

Substitution Method:

In the substitution method, we have two equations and in those two equation we have to rearrange one of the equation and apply it on the other in order to solve it.

Given,

The fishmonger sold codfish for 7 pence each and mussels for 1 pence each.

Total number of items brought by Harriet = 26

Total amount spent = 86 pence.

Here we have to find the number of codfish she brought.

Let x be the number of codfish and y be the number of mussels.

So, based on the given details,

We have written the equation as,

=> x + y = 26

=> x = 26 - y ----------------------------(1)

And the amount spent written as,

=> 7x + y = 86 -----------------------------(2)

Apply the value of x to the equation (2),

The we get,

=> 7(26 - x) + y = 86

=> 182 - 7y + y = 86

=> -6y = 86 - 182

=> -6y = -96

=> y = 96/6

=> y = 16

So, the value of x is,

=> x = 26 - y

=> x = 26 - 16

=> x = 10

So, she brought 10 codfish and 16 mussels.

To know more about Substitution Method here.

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