Question

Liam bought 3 bags of apples for $4.99 each, 2 bunches of bananas for $1.78 each and four pineapples for $2.86 each. After 6% sales tax, what is his total cost?

Answer 1

The total expenditure by Liam is calculated as,

`\begin{gathered} E=(\text{ No. of apple bag}\cdot\text{ Cost per apple bag}) \\ +(\text{ No. of banana bunches}\cdot\text{ Cost per banana bunch}) \\ +(\text{ No. of pineapples}\cdot\text{ Cost per pineapple}) \end{gathered}`

Substitute the values and simplify,

`\begin{gathered} E=3\mleft(4.99\mright)+2\mleft(1.78\mright)+4\mleft(2.86\mright) \\ E=14.97+3.56+5.72 \\ E=24.25 \end{gathered}`

Given that the sales tax rate is 6%, then the total cost (TC) is obtained as follows,

`\begin{gathered} TC=E+(6\text{ percent of }E) \\ TC=E+(6)/(100)E \\ TC=E+0.06E \\ TC=1.06E \end{gathered}`

Substitute the value of E,

`\begin{gathered} TC=1.06\cdot(24.25) \\ TC=25.705 \end{gathered}`

Thus, the total cost is $25.705.