Find Quantities given a Total

Pre - Requisite / Change mixed numbers to fractions
Divide mixed numbers
Standard / 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks ½ mile in each ¼ hour, compute the unit rate as the complex fraction ½ / ¼ miles per hour.
7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54cm. Its length is 6cm. What is its width?
CC Lesson / 7.1.13
Student Learning Goal /
  • Students use tables to find an equivalent ratio of two partial quantities given a part-to-part ratio and the total of those quantities, in the third column, including problems with ratios of fractions.

Media
HW / #52
Spiral Review #14
WKSP

Find Quantities given a Total

How many ounces (oz.) are in a pound (lb.)?

Macaroni & Cheese

The table below shows 4 different-sized pans that could be used to make macaroni and cheese. Complete the table. Find the missing amounts of weight by applying the same value of the ratio as the first row.

Noodles
(cups) / Cheese
(cups) / Pan Size
(number of cups)
3 /

Hikers

A group of 6 hikers are preparing for a one-week trip. All of the group’s supplies will be carried by the hikers in backpacks. The leader decides that each hiker will carry a backpack that is the same fraction of weight to all of the other hiker’s weights. This means that the heaviest hiker would carry the heaviest load. Complete the following table, whichshows the weight of each hiker and the weight of the backpack.

Hiker’s Weight / Backpack Weight / Total Weight (lb.)
129 lb. 15 oz.
107 lb. 10 oz. / 10 lb. 4 oz.
8 lb. 12 oz.

Exercise:

1. / To make green paint, students mixed yellow paint with blue paint. The table below shows how many yellow and blue drops from a dropper several students used to make the same shade of green paint. Complete the table.
Yellow (Y)
(ml) / Blue (B)
(ml) / Total
/

6
5
Write an equation to represent the relationship between the amount of yellow paint and blue paint.
B= Y
2. / Students in 4 classes, displayed below, ate the same ratio of cheese pizza slices to pepperoni pizza slices. Complete the following table, which represents the number of slices of pizza students in each class ate.
Slices of Cheese Pizza / Slices of Pepperoni Pizza / Total Pizza

6 / 15


Name: ______Date: ______

Pre-AlgebraExit Ticket

The table below shows the combination of a dry prepackaged mix and water to make concrete. The mix says for every 1 gallon of water stir 60 pounds of dry mix. (We know that 1 gallon of water is equal to 8 pounds of water.)

Using the information provided in the table, complete the remaining parts of the table.

Dry Mix
(pounds) / Water
(pounds) / Total
(pounds)
8
75 / 10
17

Name: ______Date: _____

Pre-AlgebraHW #52


1. / The following table shows the number of cups of milk and flour that are needed to make biscuits. Complete the table.

Review:

2. / Of the 30 girls that tried out for the lacrosse team at Euclid Middle School, 12 were selected. Of the 40 boys who tried out, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls? How do you know?
3. / Simplify