Finding This Percent of That: IM 6.3.15
[url=https://im.kendallhunt.com/MS/teachers/1/3/15/preparation.html]“Finding This Percent of That”[/url] from IM Grade 6 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 6.3.15
- IM 6.3.15 Lesson: Finding This Percent of That
- Practice 6.3.15
- IM 6.3.15 Practice: Finding This Percent of That
IM 6.3.15 Lesson: Finding This Percent of That
Find the value of the expression mentally.
[math]\left(0.23\right)\cdot100[/math]
[math]50\div100[/math]
[math]145\cdot\frac{1}{100}[/math]
[math]7\div100[/math]
A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. How many people came to each of the other activities?
Attendance at a basketball game was 30% of attendance at the concert.
Attendance at the drama play was 140% of attendance at the concert.
Attendance at literacy night was 44% of attendance at the concert.
50% of the people who attended the drama play also attended the music concert. What percentage of the people who attended the music concert also attended the drama play?
During a sale, every item in a store is 80% of its regular price.
If the regular price of a T-shirt is $10, what is its sale price?[br]
During a sale, every item in a store is 80% of its regular price. The regular prices of five items are shown here. Find the sale price of each item.
You found 80% of many values. Was there a process you repeated over and over to find the sale prices? If so, describe it.[br][img]data:image/png;base64,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[/img]
Select [b]all[/b] of the expressions that could be used to find 80% of [math]x[/math] .
IM 6.3.15 Practice: Finding This Percent of That
To find 40% of 75, Priya calculates [math]\frac{2}{5}\cdot75[/math]. Does her calculation give the correct value for 40% of 75? Explain or show how you know.
If [math]x[/math] represents a number, does [math]\frac{2}{5}\cdot x[/math] always represent 40% of that number? Explain your reasoning.[br]
Han spent 75 minutes practicing the piano over the weekend.
Priya practiced the violin for 152% as much time as Han practiced the piano. How long did she practice?
Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?[br]
Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited [br]the park.
Order from greatest to least:[br][list][*]55% of 180[/*][*]300% of 26[/*][*]12% of 700[/*][/list]
Complete the statement.
20% of 60 is ________
25% of ________ is 6
________% of 100 is 14
50% of 90 is ________
10% of ________ is 7
30% of 70 is ________
A shopper needs 24 sandwich rolls. The store sells identical rolls in 2 differently sized packages. They sell a six-pack for $5.28 and a four-pack for $3.40. Should the shopper buy 4 six-packs or 6 four-packs? Explain your reasoning.
On a field trip, there are 3 chaperones for every 20 students. There are 92 people on the trip. Answer these questions. If you get stuck, consider using a tape diagram.
How many chaperones are there?
How many children are there?[br]