The polleys want to put in a swimming pool next summer. they need to save $6,000 over 12 months in order to achieve this goal. they set aside the same amount each month and after 7 months discovered they have saved $3,100. the polleys know that they must adjust their plan in order to meet their goal, so they come up with the following options:
option a: save the original amount each month but put the pool in one month later than originally planned.
option b: increase savings each month by $100 from their original plan

Neither option A nor option B will allow them to meet their goal.

Step-by-step explanation:

Consider the provided information.

The Polleys want to put in a swimming pool next summer. They need to save $6,000 over 12 months in order to achieve this goal.

They set aside the same amount each month and after 7 months discovered they have saved $3,100. Now he left with 5 months (∴7+5=12 months)

Let x is the amount he was saving each month. He saved x amount for 7 months and after 7 months he has $3100.

He saved approximately $442.86 each month.

Option A Save the original amount each month but put the pool in one month later than originally planned.

That means the number of month he has now 5+1=6.

Now find how much he can save in 6 months if he save $442.86 per month.

6×442.86=2657.16

Now add his all savings as:

$3100+$2657.16=$5757.16

Thus, the option A will not allow him to meet his goal.

Now consider the option B) Increase savings each month by $100 from their original plan.

Previously he was saving $442.86 each month now increase this number by $100.

$442.86+$100=$542.86

In 5 months he can save:

5×542.86=$2714.3

Now add his all savings as:

$3100+$2714.3= 5814.3

Thus, the option B will not allow him to meet his goal.

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.