Penelope is raising money for a school trip by selling bags of chips and fruit snacks. The price of each bag of chips is $1.75 and the price of each fruit snack is $1.50. Yesterday Penelope made $42.50 and sold 15 more bags of chips than fruit snacks. Determine the number of bags of chips sold and the number of fruit snacks sold

The number of bags of chips sold was 20 and the number of fruit snacks sold was 5.

Given that,

Based on the above information, the calculation is as follows:

1.75x + 1.50y = 42.50

x = y + 15

Now put x value to the above equation

1.75(y + 15) + 1.50y = 42.50

1.75y  + 26.25 + 1.50y = 42.50

3.25y = 16.25

y = 5

So, x = 5 + 15 = 20

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The number of bags of chips sold was 20 and the number of fruit snacks sold was 5

Step-by-step explanation:

Let

x ---> the number of bags of chips sold

y ---> the number of fruit snacks sold

we know that

Penelope made $42.50

so

----> equation A

Penelope sold 15 more bags of chips than fruit snacks.

----> equation B

substitute equation B in equation A

solve for y

Find the value of x

therefore

The number of bags of chips sold was 20 and the number of fruit snacks sold was 5

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step-by-step explanation:

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step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3