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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 :

calculista

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

Ver imagen calculista
aksnkj

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

Ver imagen aksnkj

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