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Algebraic Sense
Lesson 20
Symbols and Notations
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 | 4 > Practice: 1 | 2 | 3 | 4 | 5 > Reflection

Example 2:

Sandy's family does its laundry at a coin-operated laundromat. It costs $1.25 per load to use the washing machines and $.25 per load to use the dryers for 10 minutes. Sandy's family has 5 loads of laundry to do and each load will need to be in a dryer for 30 minutes.

  • Which expression will give Sandy's family the total cost of doing these loads of laundry?
  1. ($1.25 + $.25) x 3 x 5
  2. [$1.25 + (3 x $.25)] x 5
  3. [(3 x $1.25) + $.25] x 5
  4. 3 x ($1.25 + .25) x 5

In order to solve this problem, you will want to be sure to fully understand the problem and what you are to find. For this problem you need to only take the information that you are given in the problem and put it into a mathematical expression so that you or someone else may solve it. You do not have to solve the expression.

To begin organizing the information into a mathematical expression, let's begin by seeing what one load of laundry will cost Sandy.

To wash one load of laundry it costs $1.25. To dry a load of laundry it costs $.25 for 10 minutes. However, each load will need to have 30 minutes to dry. So, to dry one load of laundry it costs 3 times $.25.

Now let's put the information above into a mathematical expression to show the cost of one load of laundry.

$1.25 to wash + (3 x $.25 to dry)
$1.25 + (3 x $.25)

Since you found the expression to find the cost of one load of laundry, all you need to do is to multiply that expression by 5, since Sandy has to do 5 loads.

Therefore, you end up with the following:

[$1.25 + (3 x $.25)] x 5

With brackets around the portion of the expression that shows one load of laundry, you have the answer found with letter B, [$1.25 + (3 x $.25)] x 5

Example 3 >>

 

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