a school is ordering tablet computers for its students. the tablets cost $170 each, and 7% tax is added to…
a school is ordering tablet computers for its students. the tablets cost $170 each, and 7% tax is added to the total cost of the order. if the school can spend no more than $3,400 dollars on the tablets, including tax. what is the maximum number of tablets that the school can order?
Answer
Explanation:
Step1: Calculate the total cost per tablet including tax
Let the cost of each tablet be $c = 170$. The tax rate is $r=7%=0.07$. The total cost per - tablet $C$ is the cost of the tablet plus the tax on the tablet. So $C=c(1 + r)=170\times(1 + 0.07)=170\times1.07 = 181.9$.
Step2: Calculate the maximum number of tablets
The school can spend a maximum of $M = 3400$. Let the number of tablets be $n$. We know that $n=\frac{M}{C}$. Substituting the values of $M$ and $C$, we get $n=\frac{3400}{181.9}\approx18.69$. Since we can't buy a fraction of a tablet, the maximum number of tablets is 18.
Answer:
18