At Katya’s fruit stand, a basket of strawberries costs $4 and a basket of raspberries costs $9. In one morning, Katya sells 96 baskets for $644. How many baskets of strawberries were sold?

Respuesta :

Answer:

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

[tex]x+y=96[/tex] ----> equation A

[tex]4x+9y=644[/tex] ---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

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Katya sold 44 baskets of strawberry and 52 baskets of raspberry.

Given information:

A basket of strawberries costs $4 and a basket of raspberries costs $9.

Katya sells 96 baskets for $644.

Let x be the number of strawberry baskets and y be the number of raspberry baskets.

The given condition can be written the form of linear equations as,

[tex]4x+9y=644\\x+y=96[/tex]

Solve the above linear equations as,

[tex]4x+9y=644\\4x+4y=384\\5y=260\\y=52\\x=44[/tex]

Therefore, Katya sold 44 baskets of strawberry and 52 baskets of raspberry.

For more details, refer to the link:

https://brainly.com/question/9282581

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