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Lorico [155]
3 years ago
10

CupCaking, a cupcake bakery, uses the equation below to determine the price of cupcakes, where y represents the total price in d

ollars and x represents the number of cupcakes purchased.
Y=3/2x

Cake Me, another cupcake bakery, uses the table below to determine prices.
(x) (y)
2 3.50
3 5.25
4 7.00
6 10.50

Katie bought one cupcake from CupCaking and Sarah bought one cupcake from Cake Me.

Which of the following are true?
A) Katie is paying the smaller price of $1.50 per cupcake.
B)Sarah is paying the smaller price of $1.25 per cupcake.
C) Katie is paying $0.25 per cupcake more than Sarah.
D)Sarah is paying $0.25 per cupcake more than Katie.
E)They are paying the same price per cupcake.

You can pick more then one :)
Mathematics
1 answer:
notka56 [123]3 years ago
4 0
A is true and D is true because 3 divided by 2 is 1.5 and x is 1 ( the number of cupcakes she is buying) so the total she is paying for is 1.50 while if you notice the pattern in cake me they are charging 1.75 per cupcake. (7.00 - 1.75 = 5.25)
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Riley and Erik have earned a total of 135 tokens to buy items in the school store. The ratio of the number of tokens that Riley
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Answer:

<em>Riley has 72 tokens</em>

Step-by-step explanation:

<u>System of Equations </u>

We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that

x+y=135

Solving for y

y=135-x

The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as

\displaystyle \frac{x}{y}=\frac{8}{7}

Or equivalently

7x=8y

Replacing y from the first equation

7x=8(135-x)

Operating

7x=1080-8x

Simplifying

15x=1080

\boxed{x=72}

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