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thedarcieisabelleand
24.01.2022 •
Mathematics
Mrs. Schneider purchases twenty donuts and thirty cookies at
a donut shop and is charged $33. Briana purchases five donuts
and two cookies at the same shop for $4.95. All the donuts have the same price. Find the cost of one donut and find the cost of one cookie
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Ответ:
The donuts cost $0.75 and the cookies cost $0.6
Step-by-step explanation:
You need to create a system of equations:
20d + 30c = 33
5d + 2c = 4.95
Now, let's isolate the cookies on the second equation:
2c = 4.95 - 5d
Multiply it per 15 to get the value of 30 cookies:
30c = 74.25 - 75d
Substitute in the first equation:
20d + 74.25 - 75d = 33
-55d = -41.25
d = -41.25/-55
d = 0.75
Now substitute the value of d in the second equation to find the value of c:
5•0.75 + 2c = 4.95
3.75 + 2c = 4.95
2c = 4.95 - 3.75
2c = 1.2
c = 1.2/2
c = 0.6
Ответ:
Step-by-step explanation: