**Unit Price Word Problems :**

In this section, we are going to learn , how to solve word problems using unit price.

**Question 1 :**

The book fair had a sale where 6 books were $20.46. If you wanted to buy 7 books, how much money would you need ?

**Solution : **

**Given :** Cost of 6 books is $20.46

Then, the cost of 1 book is

= 20.46 / 6

= $3.41

The cost of 7 books is

= 7 ⋅ 3.41

= $23.87

Hence, we need $23.87 to buy 7 books.

**Question 2 :**

A video game store was getting rid of old games, selling them 3 for $56.28. If they sold 7 games, how much money would they have made ?

**Solution : **

**Given :** Cost of 3 old games is $56.28

Then, the cost of 1 old game is

= 56.28 / 3

= $18.76

The Cost of 7 old games is

= 7 ⋅ 18.76

= $131.32

Hence, if they sold 7 games, they would they have made $131.32

**Question 3 :**

At the store beef jerky is $44.25 for 3 pounds. If you buy 4 pounds, how much will it cost ?

**Solution : **

**Given :** Cost of 3 pounds is $44.25

Then, the cost of 1 pound is

= 44.25 / 3

= $14.75

The Cost of 4 pounds is

= 4 ⋅ 14.75

= $59

Hence, 4 pounds of beef jerky will cost $59.

**Question 4 :**

At the baseball stadium the price for popcorn is $5.88 for 3 bags. If you want to buy 7 bags of popcorn, how much will it cost ?

**Solution : **

**Given :** Cost of 3 bags is $5.88

Then, the cost of 1 bag is

= 5.88 / 3

= $1.96

The Cost of 7 bags is

= 7 ⋅ 1.96

= $13.72

Hence, if we want to buy 7 bags of popcorn, it will cost $13.72

**Question 5 : **

At the toy store you could get 2 board games for $8.36. Online the price for 3 board games is $12.84. Which place has the highest price for a board game ?

**Solution : **

Cost of 1 board game is = 8.36 / 2 = $4.18 |
Cost of 1 board game is = 12.84 / 3 = $4.28 |

4.18 < 4.28

From the above comparison, it is clear that online has the highest price for a board game.

**Question 6 : **

At the market you can buy 5 bags of apples for $23.60. At the orchard you can get 7 bags of apples for $32.76. Which is the better deal ?

**Solution : **

Cost of 1 bag of apple is = 23.60 / 5 = $4.72 |
Cost of 1 bag of apple is = 32.76 / 7 = $4.68 |

4.72 > 4.68

Comparing the unit prices, orchard has lower price. So buying apples in orchard is better deal.

**Question 7 : **

A store had 4 blue chairs for $73.48 or 5 red chairs for $91.40. Which color chair has a lower unit price ?

**Solution : **

Cost of 1 chair is = 73.48 / 4 = $18.37 |
Cost of 1 chair is = 91.40 / 5 = $18.28 |

18.37 > 18.28

Comparing the unit prices, red color chair has a lower unit price

**Question 8 : **

A fast food restaurant had 7 boxes of chicken nuggets for $25.90. A competing restaurant had 3 boxes of chicken fingers for $11.07. Which food has a higher unit price ?

**Solution : **

Cost of 1 box is = 25.90 / 7 = $3.70 |
Cost of 1 box is = 11.07 / 3 = $3.69 |

3.70 > 3.69

Comparing the unit prices, chicken nugget has a higher unit price.

After having gone through the stuff given on "Unit price word problems", we hope that the students would have understood how to solve problems using unit rates.

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