Write the word problem in algebraic form:
n2 -14 = 5n
Write as a quadratic:
n2 - 5n - 14 = 0
Factor:
(n+2)(n-7) = 0
Solve:
n+2 = 0 => n = -2
n-7 = 0 => n = 7
positive solution is 7. (14 less than 72 = 35 which is also 5 times 7)
ANSWER= 30 rides
STEP-BY-STEP EXPLANATION
y=mx+b
m= $0.5 (per ride)
b= $5 (the cost)
x(rides) and y(parents money)
y= 0.5 x + 5
20= 0.5 x +5
20 - 5 = 0.5 x
15=0.5x
x=
x=30 rides
The other number is 36 but if you are not counting 36, then it would be 18 but usually you would choose 36.
12*3=36
18*2
36*1=36
There are no other numbers above 12 other than 18 and 36 that has a multiple of 36