Question

Ms. Hernandez has $100 to spend on parking and admission to the zoo. The parking will cost 7, and admission tickets will $ 15.50 per person. write and solve an algebraic equation that can be used to determine the number of people that she can bring to zoo, including herself.

Answer 1

Let:

T = Total cost

B = Ms Hernandez's budget

b = Cost of the parking

a = cost of the admission ticket

n = number of people

so:

$\begin{gathered} T(n)\le B \\ T(n)=an+b \\ where\colon \\ a=15.5 \\ b=7 \\ B=100 \\ so\colon \\ 15.5n+7\le100 \end{gathered}$

Solve for n:

$\begin{gathered} 15.5n\le100-7 \\ 15.5n\le93 \\ n\le\frac{93}{15.5} \\ n\le6 \end{gathered}$

She can bring 6 people including herself