Answered

Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes $2.48 per pound. The cost of the fruit, before tax is $13.76. How many pounds of each fruit is she buying?

Answer :

calculista

Answer:

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5

Step-by-step explanation:

Let

x ------> the number of pounds of apples

(x-2) -----> the number of pounds of grapes

we know that

[tex]1.68x+2.48(x-2)=13.76[/tex]

Solve for x

[tex]1.68x+2.48x-4.96=13.76[/tex]

[tex]1.68x+2.48x=4.96+13.76[/tex]

[tex]4.16x=18.72[/tex]

[tex]x=4.5\ pounds[/tex]

so

[tex]x-2=4.5-2=2.5\ pounds[/tex]

therefore

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5

Answer:

Hence She buys 4.5 pounds of apples and 2.5 pounds of grapes.

Step-by-step explanation:

Cost of 1 pound of apple = $1.68

Cost of x pounds of apple =  1.68 x

She buys 2 fewer pounds of grapes  i.e. (x-2) pounds.

Cost of 1 pound of grapes =  $2.48

Cost of (x-2) pound of grapes =  2.48 (x-2)

The cost of the fruit, before tax is $13.76.

So, [tex]1.68 x+2.48 (x-2)=13.76[/tex]

[tex]1.68 x+2.48x-4.96=13.76[/tex]

[tex]4.16x-4.96=13.76[/tex]

[tex]4.16x=13.76+4.96[/tex]

[tex]4.16x=18.72[/tex]

[tex]x=\frac{18.72}{4.16}[/tex]

[tex]x=4.5[/tex]

She buys 4.5 pounds of apples.

She buys grapes = (x-2)=(4.5-2)=2.5 pounds

Hence She buys 4.5 pounds of apples and 2.5 pounds of grapes.

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