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meriva
3 years ago
5

At Sunrise Donuts you can buy 6 donuts and 2 kolaches for $8.84. One kolache and 4 donuts would cost $5.36. What is the price of

one donut at Sunrise Donuts?
Mathematics
1 answer:
Lelechka [254]3 years ago
3 0
Set up a system of equations like this, where "k" represents a kolache and "d" represents a donut:

\left \{ {{6d +2k = 8.84} \atop {k+4d = 5.36}} \right.

We're solving for d.  First, we can rearrange the second equation to have it equal k:

k + 4d = 5.36
k = 5.36 - 4d

Next, we can substitute this in for k in the first equation:

6d + 2k = 8.84
6d + 2(5.36 - 4d) = 8.84
6d + 10.72 - 8d = 8.84

Finally, we can get the value of d if we solve this equation:

-2d + 10.72 = 8.84
-2d= -1.88
d = 0.94

You can buy a donut at Sunrise Donuts for $0.94.
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