Question

O EQUATIONS AND INEQUALITIESSolving a decimal word problem using a linear equation with th.

Answer 1

Given:

`PlanA=0.16\text{ for each minutes of calls}`
`PlanB=25\text{ monthly fee plus 0.12 for each minute of calls}`

To Determine: The numbers of calls for the which the two plans are equal

Solution

Let x be the number of minutes of calls for which the two plans are equal

The cost of plan A is

`C_{ost\text{ of plan A}}=0.16x`

The cost of plan B

`C_{ost\text{ of plan B}}=25+0.12x`

If the cost for the two plans are equal, then

`0.16x=25+0.12x`

Solve for x

`\begin{gathered} 0.16x-0.12x=25 \\ 0.04x=25 \\ x=(25)/(0.04) \\ x=625 \end{gathered}`

Hence, the number of minutes of calls for which two plans are equal is 625 minutes