Small baskets of tomatoes are sold at a vegetable stand for $3 per basket. Large baskets
of tomatoes are sold at the stand for $5 per basket. Only whole numbers of baskets may be
purchased.
Another customer claims that he can purchase a total of 10 baskets of tomatoes
and pay $45.
B. Use a system of equations that describes this other customer's purchase to
explain why the claim is incorrect.

A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.

For the given situation,

Let the number of small baskets be x

and the number of large baskets be y

Price of small basket = $3 per basket

Price of large basket = $5 per basket

Number of baskets purchased by customer = $45

The system of equations for the above statements are

[tex]x+y=10[/tex] ------ (1)

[tex]3x+5y=45[/tex] ------ (2)

From 1, [tex]x=10-y[/tex]

Now, substitute x in equation 2,

⇒ [tex]3(10-y)+5y=45[/tex]

⇒ [tex]30-3y+5y=45[/tex]

⇒ [tex]2y=45-30[/tex]

⇒ [tex]2y=15[/tex]

⇒ [tex]y=\frac{15}{2}[/tex]

⇒ [tex]y=7.5[/tex]

Substitute the value of y in equation 1, we get

⇒ [tex]x=10-7.5[/tex]

⇒ [tex]x=2.5[/tex]

Only whole numbers of baskets may be purchased. But the value of x and y are in decimals.

Hence we can conclude that the customer's claim is incorrect because the value of the number of baskets are in decimal.

Learn more about the system of equations here

https://brainly.com/question/12760602

#SPJ2