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

The number of spoons bought by Jill is 3

The number of forks bought by Jill is 3.

Step-by-step 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