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Small baskets of tomatoes are sold at a stand for S3 per basket. Large baskets of tomatoes are
sold at the stand for $5 per basket. A customer purchases a total of 8 baskets of tomatoes and
pays $36.
Write and solve a system of equations that models the number of small baskets (x) and the
number of large baskets (y) that the customer purchases. Show or explain all your work.

Respuesta :

veralynarmenio

Answer:

x = 2, y = 6

Step-by-step explanation:

Hi there!

The equation for the cost of baskets of tomatoes can be represented as

3x+5y = 36

The number of baskets can be represented as

x + y = 8

I will be using the substitution method for this question.

First, we have to solve for a variable. X will be easiest in this case.

Multiply the bottom equation by -3 to cancel out 3x and -3x.

Your equation will become [tex]-3x - 3y = -24[/tex]

After the x values are cancelled out, add the values from the top equation into the values of the bottom equation.

this becomes [tex]2y = 12[/tex], or y = 6.

Now that we know the y-value, plug it in either original equation to find x.

x = 2