Question

Decide which is the better value based on the unit prices. ( show your work).

Answer 1

The questions are asking about unit prices (price per 1 unit of thing)

we want to find out which is the better deal

we want to find out which price/1item is least (you want to pay as little as possible per item)

so to solve each problem, divide price by number of things to get the unit price (price per unit)

1) $25.00 for concert tickets for 2 people or $36.00 for concert tickets for 3 people.

$25 for 2 people is $25/2=$12.50/person

vs

$36 for 3 people is $36/3=$12.00/person

12<12.5 so better value is the $36 for 3 people

2) $380 for a bus for 32 people or $420 for a bus for 38 people.

$380 for 32 people is $380/32=$11.875/person

vs

$420 for 38 people is $420/38=$11.05/person

11.05<11.875

$420 for 38 people is better value

3) $4.25 for 4 liters of milk or $2.55 for 2 liters of milk.

$4.25 for 4 lieter is $4.25/4=$1.06/liter

vs

$2.55 for 2 lieter is $2.55/2=$1.27/liter

1.06<1.27 so $4.25 for 4 liter is better value

4) 35 grams of mixed nuts for $0.99 or 59 grams of mixed nuts for $1.49

$0.99 for 35 grams is $0.99/35=$0.02828/gram

vs

$1.49 for 59 grams is $1.49/59=$0.02525/gram

0.02525<0.02828 so $1.49 for 59 grams is better value

5) inline skate rentals for fat $30.00 for 4 hours or $54.00 for 7 hours.

$30 for 4hrs is $30/4=$7.50/hr

vs

$54 for 7hrs is $54/7=$7.71/hr

7.50<7.71 so $30 for 4hr is better value

6) 500 sheets of paper for $9.45 or 4500 sheets of paper for $49.00

$9.45 for 500 sheets is $9.45/500=$0.0189/sheet

vs

$49.00 for 4500 sheets is $49.00/4500=$0.0108/sheet

0.0108<0.0189 so $49.00 for 4500 is better value

7) 25 liters of gas for $21.50 or 35 liters of gas for $40.00

$21.50 for 25 liters is $21.50/25=$0.86/liter

vs

$40 for 35 liters is $40/35=$1.41/liter

0.86<1.41 so $21.50 for 25 liters is better value