Pre Algebra: Word Problems – Find Unit Rates Practice

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1. (E)

$ 15 \div 6 = 2.50 $ originally for each pencil. If 2.50 is increased by 25 cents, then each pencil will cost 2.75. All together, 10 pencils will now cost $ 10 \times 2.75 = 27.50 $

 

2. (D)

$ 4.50 \div 6 = 0.75 $ , $ 2.40 \div 6 = 0.40 $

$ 0.75 - 0.40 = 0.35 $

 

3. (B)

$ 40 \, \text{Hats} \div 5 \, \text{Hats per Package} = 8 \, \text{Packages} $ and $40 \, \text{Hats} \div 8 \, \text{Hats per Package} = 5 \, \text{Packages}$

$ 8 \, \text{Packages} \times 16 \, \text{Dollars} = 128 \, \text{Dollars} $ and $ 5 \, \text{Packages} \times 22 \, \text{Hats per Package} = 110 \, \text{Dollars} $ so the cheaper option will cost you 110 dollars. 


 

4. 86

2 Packages, 3 children, and one child under 2. 

$ (30 \times 2) + (8 \times 3) + 2 = 60 + 24 + 2 = 86 $