A local service organization is wrapping gifts at the mall to raise money for charity. Yesterday, they wrapped 14 small gifts and 15 large gifts, earning a total of $205. Today, they wrapped 47 small gifts and 45 large gifts, and earned $640. How much did they charge to wrap the gifts?

The answer is below

Step-by-step explanation:

Let the money charged to wrap a small gift be $x and the money charged to wrap a large gift be $y. The cost of wrapping 14 small gifts and 15 large gifts is $205, It can be represented by the equation:

14x + 15y = 205                 (1)

Also, the cost of wrapping 47 small gifts and 45 large gifts is $640. It can be represented by the equation:

47x + 45y = 640                 (2)

Solving equation 1 and equation 2 simultaneously. Multiply equation 1 by 3 and subtract from equation 2:

5x = 25

x = 25/5 = 5

x = 5

Put x = 5, in equation 1 and solve:

14(5) + 15y = 205

15y + 70 = 205

15y = 205 - 70

15y = 135

y = 135 / 15

y = 9

This means that the money charged to wrap the small gift is $5 and to wrap the large gifts is $9

-3

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