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1. clare reads 24 pages in 60 minutes. she spends the same amount of ti…

Question

  1. clare reads 24 pages in 60 minutes. she spends the same amount of time per page. consider using the table to help with your thinking as you solve each of the following problems.

a how many minutes does it take clare to read 1 page?
b how many pages can clare read in 1 minute?

  1. kiran is making personal pizzas. for 4 pizzas, he uses 6 cups of flour. consider using the table to help with your thinking as you solve each of the following problems.

a how many cups of flour does kiaran use for each pizza?
b at this same rate, how many cups of flour will he need to make 9 pizzas?

  1. a teacher put together 5 baskets of supplies for 25 students to use. consider using the table to help with your thinking as you solve each of the following problems.

a how many students use each basket of supplies?
b if there are 8 baskets, how many students could use the supplies?

  1. jada buys a 5-lb bag of potatoes for $7.75. how much does 1 lb of potatoes cost? explain your thinking.

Explanation:

Problem 1a

Step1: Identify the relationship

We know that Clare reads 24 pages in 60 minutes, and we want to find the time per page. So we divide the total time by the number of pages.
$$\text{Time per page} = \frac{\text{Total time}}{\text{Number of pages}} = \frac{60}{24}$$

Step2: Simplify the fraction

Simplify $\frac{60}{24}$ by dividing numerator and denominator by their greatest common divisor, which is 12.
$$\frac{60\div12}{24\div12}=\frac{5}{2} = 2.5$$

Step1: Identify the relationship

We want to find the number of pages per minute, so we divide the number of pages by the total time.
$$\text{Pages per minute} = \frac{\text{Number of pages}}{\text{Total time}}=\frac{24}{60}$$

Step2: Simplify the fraction

Simplify $\frac{24}{60}$ by dividing numerator and denominator by their greatest common divisor, which is 12.
$$\frac{24\div12}{60\div12}=\frac{2}{5}=0.4$$

Step1: Identify the relationship

Kiran uses 6 cups of flour for 4 pizzas, so we divide the total flour by the number of pizzas.
$$\text{Flour per pizza}=\frac{\text{Total flour}}{\text{Number of pizzas}}=\frac{6}{4}$$

Step2: Simplify the fraction

Simplify $\frac{6}{4}$ by dividing numerator and denominator by their greatest common divisor, which is 2.
$$\frac{6\div2}{4\div2}=\frac{3}{2} = 1.5$$

Answer:

2.5 minutes

Problem 1b