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Strike441 [17]
3 years ago
8

The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 28 regular gi

ft baskets and 24 deluxe gift baskets, earning a total of $1,188. During the spring musical, they sold 28 regular gift baskets and 13 deluxe gift baskets, earning a total of $836. How much are they charging for the different sized gift baskets?
The drama club is charging $____ for a regular gift basket and $____ for a deluxe gift basket.
Mathematics
1 answer:
Alexxx [7]3 years ago
7 0

Answer:

28

Step-by-step explanation:

Hi! So what we're gonna want to do here is set up a system of equations. Lets say x = regular baskets and y = deluxe baskets. You would set up the system like this:

28x + 24y = 1,188

28x + 13y = 836

So since the number before the x is the same in both equations, we are going to want to cancel that out.

28x + 24y = 1,188

-1(28x + 13y = 836)

----------------

28x + 24y = 1,188

-28x - 13y = -836

Add the two equations together! There will be no x value :)

11y = 352

y = 32... The deluxe basket is going to cost $32

Put the y value into one of the equations to solve for x.

28x + 13(32) = 836

28x + 416 = 836

28x = 420

x = 15... The regular basket will cost $15

Hope this helps!

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3 years ago
Can someone please explain?
AlladinOne [14]
<h2>Hello!</h2>

The answer is:

The correct option is the first option:  

y=-4x+64

<h2>Why?</h2>

To write the equation of the line in slope-interception  form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

y=mx+b

Where,

y, is the function

m, is the slope of the line

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We can find the slope using the following formula:

m=\frac{ChangeInY}{ChangeInX}

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m=\frac{64}{16}=4

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

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As we can see it intercept the y-axis at:  y=64

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y=mx+b=-4x+64\\y=-4x+64

So, the correct option is the first option:

y=-4x+64

Have a nice day!

4 0
3 years ago
The hypotenuse of a right-angled triangle is 61 cm. If one of the remaining two sides is
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Step-by-step explanation:

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