Chapter 4.6, Problem 27STP

(a)

To determine

To write: an equation to represent the situation.

Answer to Problem 27STP

The required equation is 6s + 60 = 180

Explanation of Solution

Given:

The mountain bike cost $180.

The saving amount is $60.

Calculation:

Consider the mountain bike cost $180.

The saving amount is $60.

The next 6 months saving amount (equally) is the total remaining amount for the bike cost.

The objective is to write an equation.

Let the amount be s.

Total cost of bike is $180.

Shelia has $60, so it is added to remaining amount.

For 6 months, amount becomes 6s,

Put all together,

Hence, the required equation is 6s + 60=180.

Conclusion:

Hence, the required equation is 6s + 60=180.

(b)

To determine

To find: the amount that she needs to save each month.

Answer to Problem 27STP

S needs to save each month $20

Explanation of Solution

Calculation:

The objective is to find the amount that S needs to save each month.

The saving amount for the month is s .

The equation is,

  $\begin{array}{l}6s+60=180\\ 6s+60-60=180-60\text{ Subtract 60 on both sides}\\ 6s=120\text{ Simplify}\\ \frac{6s}{6}=\frac{120}{6}\text{ Divide 6 on both sides}\\ s=20\end{array}$

Hence, S needs to save $20 each month.

Conclusion:

Hence, S needs to save $20 each month.