Question

A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit is $11. The manager uses a coupon that applies a 40% discount to the total cost of the two items. How much money does the pool manager pay for each item? Chlorine tablets $ ?pH test kit $ ?

Answer 1

Answer:

Chlorine tablets cost $54

pH test kit cos $6.6

Explanations:

Given the following parameters

Price of a bucket of chlorine tablets = $90

Price of a pH test kit = $11

Total price of chlorine tablet and test kit = $90 + $11

Total price of chlorine tablet and test kit = $101

If the manager uses a coupon that applies a 40% discount to the total cost of the two items, the amount paid in total will be;

$\text{Amount paid in total after discount=\ 101 - (40\% of \ 101)}$

Simplify the result to have;

$\begin{gathered} \text{Total cost after discount=\ 101-(0.4}\times101\text{)} \\ \text{Total cost after discount=\ 101-}40.4 \\ \text{Total cost after discount}=\ 60.6 \end{gathered}$

Get the money paid for each item after discount;

For the bucket of chlorine;

$\begin{gathered} \text{Price of Cl after discount}=90-(0.4\times90) \\ \text{Price of Cl after discount}=90-36 \\ \text{Price of Cl after discount=\ 54} \end{gathered}$

For the price of pH test kit;

$\begin{gathered} \text{Price of testkit after discount}=\ 11-(0.4\times11) \\ \text{Price of testkit after discount=11-}4.4 \\ \text{Price of testkit after discount}=\ 6.6 \end{gathered}$

Hence the price of chlorine tablets is $54 and while the price of the pH test kit is $6.6