Answer:
21 quarters and 19 dimes
Step-by-step explanation:
Create a system of equations where q is the number of quarters and d is the number of dimes.
0.25q + 0.1d = 7.15
q + d = 40
Solve by elimination by multiplying the bottom equation by -0.25
0.25q + 0.1d = 7.15
-0.25q - 0.25d = -10
Add them together and solve for d:
-0.15d = -2.85
d = 19
Then, plug in 19 as d into the second equation to solve for q:
q + d = 40
q + 19 = 40
q = 21
So, there are 21 quarters and 19 dimes
The given data is proportional because, we get 3.15 when Quantity y is divided by Quantity x, y/x = 3.15
Given,
The data;-
Quantity x; 2 , 6 , 9 , 5 , 1
Quantity y; 6.3, 18.9, 28.35, 15.75, 3.15
We have to find the proportionality between the data set given;-
Lets see the proportionality;-
Quantity y ÷ Quantity x
6.3 ÷ 2 = 3.15
18.9 ÷ 6 = 3.15
28.35 ÷ 9 = 3.15
15.75 ÷ 5 = 3.15
3.15 ÷ 1 = 3.15
Here,
The given data is proportional because, we get 3.15 when Quantity y is divided by Quantity x, y/x = 3.15
Learn more about proportionality here;
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First one is 97
2nd one is 8000
