Question

a store sells homemade forks and spoons. the store sells homemade forks for $5.50 each and the homemade spoons for $3.50 each. last month the store sold a total of 61 homemade spoons and forks for $289.50. How many were homemade forks and how many where homemade spoons?

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Cristian

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Let's denote the number of homemade forks as x and the number of homemade spoons as y .

From the problem, we can create the following system of equations:

1. The total number of homemade forks and spoons is 61:

x + y = 61

2. The total cost of all forks and spoons is $289.50:

5.50x + 3.50y = 289.50

We can use the first equation to expressx in terms of y :

x = 61 - y

Substitute this expression forx into the second equation:

5.50(61 - y) + 3.50y = 289.50

Now, solve fory :

335.50 - 5.50y + 3.50y = 289.50

-2y = -46

y = 23

Now that we have found the number of homemade spoons, we can find the number of homemade forks:

x = 61 - 23

x = 38

Therefore, there were 38 homemade forks and 23 homemade spoons sold.

Answer: There were 38 homemade forks and 23 homemade spoons sold.

From the problem, we can create the following system of equations:

1. The total number of homemade forks and spoons is 61:

2. The total cost of all forks and spoons is $289.50:

We can use the first equation to express

Substitute this expression for

Now, solve for

Now that we have found the number of homemade spoons, we can find the number of homemade forks:

Therefore, there were 38 homemade forks and 23 homemade spoons sold.

Answer: There were 38 homemade forks and 23 homemade spoons sold.

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