Question

Apples: $(2x) per pound

Grapes: $(6x - 5) per pound
Oranges: $(x + 2) per pound
A shopper purchases one pound each of
apples, grapes, and oranges and spends
$10.50. How much is spent on each type
of fruit?

Answer 1

Shopper spend on Apples $3 , on Grapes $4 and on Oranges $3.5

Explanation:

We are given:

Apples: $(2x) per pound

Grapes: $(6x - 5) per pound

Oranges: $(x + 2) per pound

A shopper purchases one pound each of apples, grapes, and oranges and spends $10.50.

It can be written as:
`2x+6x-5+x+2=10.50`

We need to find how much the shopper spend on each fruit.

Solution:

Now, we need to find value of x by solving equation

`2x+6x-5+x+2=10.50`

Solving:

`2x+6x+x+2-5=10.50\\9x-3=10.50\\9x=10.50+3\\9x=13.5\\x=(13.5)/(9)\\x=1.5`

The value of x is: x=1.5

Now finding cost of one pound each fruit by putting x=1.5

Apples: $(2x) per pound

$2x= 2(1.5) = $3

Grapes: $(6x - 5) per pound

$(6x-5) = (6(1.5)-5)= $4

Oranges: $(x + 2) per pound

$(x+2)=(1.5+2)=$3.5

So, shopper spend on apples $3, on Grapes $4 and on Oranges $3.5.

Answer 2

x= 1.5 $

Explanation:

Hi there,

This is a tough question. Let us find out how to tackle it.

From the problem, we see that we 'll have to find x to figure out how much each type is. The only real number of money we get is 10.50$ - the amount the shopper spent. Let's divide this money into respective parts:

He bought 1 pound of apple => the cost of all the apple he bought is 1 ( pound) × (2x) ($ per pound) = 2x $

Do the same with Grapes and Oranges, we can easily see that he spent 6x-5 $ on grapes, x+2 $ on oranges.

The total amount he spent 10.50$ is now equal to (2x) + (6x-5) + (x+2).

Next we can change this equation, just so we find x easier:

10.50$ = (2x) + (6x-5) + (x+2)

10.50$ = 2x + 6x + x + 2 - 5

10.50$= 9x - 3

13.50$= 9x

x= 1.50 $

Thus, we can now calculate the price of each type. Apples are 3$ per pound, grapes are 4$ per pound, oranges are 3.50$ per pound.

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