Question

read and solve each problem by writing an equation for each step. use letters for the unknown numbers. show your work.
1 hirami has 12 cups of flour in a bag and 6 cups of flour in a jar. he is making batches of bread that each call for 3 cups of flour. how many batches of bread can hirami make?
hirami can make ______ batches of bread.
2 cassi bought 50 pounds of dirt. she used 10 pounds to fill a hole in her yard. then she filled pots with 5 pounds of soil in each pot. how many pots could she fill?
cassi can fill ______ pots.
3 becky has 6 packages of clay that each weigh 5 pounds. to make a bowl, she needs 3 pounds of clay. how many bowls can becky make?
becky can make ______ bowls.
4 marc has 36 pounds of apples to use to make pies. he uses 4 pounds of apples for each pie. marc uses all of the apples to make pies, and then sells each pie for $8. how much money does marc collect for all the pies?
marc collects $ ______ for all the pies.
5 choose one problem. tell how you could solve the problem in a different way.

Explanation:

Problem 1

Step1: Find total flour

Total flour = Bag flour + Jar flour = \(12 + 6 = 18\) cups.

Step2: Calculate batches

Let \(b\) be batches. Each batch needs 3 cups, so \(3b = 18\). Solve for \(b\): \(b=\frac{18}{3}=6\).

Step1: Find remaining dirt

Remaining dirt = Total - Used = \(50 - 10 = 40\) pounds.

Step2: Calculate pots

Let \(p\) be pots. Each pot needs 5 pounds, so \(5p = 40\). Solve for \(p\): \(p=\frac{40}{5}=8\).

Step1: Find total clay

Total clay = Packages × Weight per package = \(6×5 = 30\) pounds.

Step2: Calculate bowls

Let \(w\) be bowls. Each bowl needs 3 pounds, so \(3w = 30\). Solve for \(w\): \(w=\frac{30}{3}=10\).

Answer:

6

Problem 2