The sum of two integers is 74. The larger is 26 more than twice the smaller.Find the two integers
2 answers:
Answer:
Let two integers be x and y.
Consider x > y
The sum of two integers is 74.
⇒ x+y = 74 .....[1]
It is also given that: The larger is 26 more than twice the smaller
⇒x = 2y +26 ......[2]
Substitute equation [2] into [1] we have;
Combine like terms;
Subtract 26 from both sides we have;
3y = 48
Divide both sides by 3 we have;
y = 16
Substitute the value of y in [2] we have;
x = 2(16)+26 = 32+26
x = 58
Therefore, the two integers are 58 and 16
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Part 1:
Fixed Cost, f = $20
number of balls = n
Cost of each ball, c = 4.32
Price of each ball, p = 8.32
Equation for total cost:
Total Cost of balls will come by adding the cost of all balls and the fixed cost
Total Cost = number of balls made × Cost of each ball + fixed cost
<em>C = 4.32n + 20</em>
Equation for revenue:
Revenue = Number of balls made × price of each ball
<em>R = 8.32n </em>
Part 2:
Use the graphing method to determine how many balls must be sold to break even
Breakeven means Revenue = total Cost
This happens at a point (5,41.6) where n = 5 is the number of balls sold
and C = 41.6 is the total cost
When 5 balls are sold there will be breakeven
R = 4n - 20
C = 4.32n + 20
Red line represent Cost
Black line represent Revenue
