Question

5 from unit 3, lesson 6 it takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. at this rate: a. how many pounds of mashed potatoes can be made with 15 pounds of potatoes? b. how many pounds of potatoes are needed to make 50 pounds of mashed potatoes? learning targets + i can use double number line diagrams to solve different problems like \what is 40% of 60?\ or \60 is 40% of what number?\

Explanation:

Part (a)

Step1: Find the rate of mashed potatoes per pound of potatoes

The rate is $\frac{15\ \text{pounds of mashed potatoes}}{10\ \text{pounds of potatoes}} = 1.5\ \text{pounds of mashed potatoes per pound of potatoes}$.

Step2: Calculate mashed potatoes for 15 pounds of potatoes

Multiply the rate by 15 pounds of potatoes: $1.5\times15 = 22.5$.

Step1: Find the rate of potatoes per pound of mashed potatoes

The rate is $\frac{10\ \text{pounds of potatoes}}{15\ \text{pounds of mashed potatoes}}=\frac{2}{3}\ \text{pounds of potatoes per pound of mashed potatoes}$.

Step2: Calculate potatoes needed for 50 pounds of mashed potatoes

Multiply the rate by 50 pounds of mashed potatoes: $\frac{2}{3}\times50=\frac{100}{3}\approx33.33$.

Answer:

22.5 pounds

Part (b)