Question

jill bought 6 eating. utensils for a total of $21. spoons cost $3 and forks cost $4. how many of each eating utensil did she buy

Answer 1

The number of spoons bought by Jill is 3

The number of forks bought by Jill is 3 .

Explanation:

Given as :

The total number eating utensils bought by Jill = 6

The total money spend on the utensils = $ 21

The cost of each spoons = $ 3

the cost of each forks = $ 4

Let The number of spoons = s

And The number of forks = f

Now, According to question

The total number eating utensils bought by Jill = The number of spoons + The number of forks

I.e s + f = 6 ..........A

And The total money spend on the utensils = The cost of each spoons × The number of spoons + The cost of each forks × The number of forks

Or, $ 21 = $ 3 × s + $ 4 × f ........B

Or, 3 s + 4 f = 21

Solving the equations

I.e 4 × ( s + f ) - ( 3 s + 4 f ) = ( 4 × 6 ) - 21

or, 4 s + 4 f - 3 s - 4 f = 24 - 21

or, ( 4 s - 3 s ) + ( 4 f - 4 f ) = 3

Or, s + 0 = 3

∴ s = 3

So, The number of spoons = s = 3

Put the value of s in Eq A

So, s + f = 6

Or, 3 + f = 6

∴ f = 6 - 3

I.e f = 3

So, The number of forks = f = 3

Hence The number of spoons bought by Jill is 3 and The number of forks bought by Jill is 3 . Answer