math g6 m1 topic a lesson 5 student

8/18/2019 Math g6 m1 Topic a Lesson 5 Student

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Lesson 5 6•1NYS COMMON CORE MATHEMATICS CURRICULUM

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S.1Lesson 5: Solvin* roblems b$ /indin* !uivalent 1atios

Lesson 5: Solving Prole!s " #in$ing

E%&iv'len( R'(ios

Cl'ss)or*

E+'!,le 1

A Count$ Superintendent o 2i*hwa$s is interested in the numbers o dierent t$pes o vehicles

that re*ularl$ travel within his count$. 4n the month o Au*ust5 a total o 192 re*istrations

were purchased or passen*er cars and pickup trucks at the local 6epartment o "otor 7ehicles

86"79. The 6"7 reported that in the month o Au*ust5 or ever$ 5 passen*er cars re*istered5

there were 7 pickup trucks re*istered. 2ow man$ o each t$pe o vehicle were re*istered in

the count$ in the month o Au*ust:

a. Usin* the inormation in the problem5 write our dierent ratios and describe the meanin*

o each.

b. "ake a tape dia*ram that represents the uantities in the part-to-part ratios that $ou

wrote.

c. 2ow man$ eual-si;ed parts does the tape dia*ram consist o:

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This work is licensed under aCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported Licens This work is derived rom !ureka "ath # and licensed b$ %reat "inds. &'0() %reat"inds. eureka-math.or* This +le derived rom %,-"(-T!-(.3.0-0.'0()


d.


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E+er0ises

(. The ratio o the number o people who own a smartphone to the number o people who own a

>ip phone is 4:3 . 4 500 more people own a smartphone than a >ip phone5 how man$

people own each t$pe o phone:

'. Samm$ and 6avid were sellin* water bottles to raise mone$ or new ootball uniorms.

Samm$ sold 5 water bottles or ever$ 3 water bottles 6avid sold. To*ether the$ sold

160 water bottles. 2ow man$ did each bo$ sell:

3. "s. ?ohnson and "s. Siple were oldin* report cards to send home to parents. The ratio o the

number o report cards "s. ?ohnson olded to the number o report cards "s. Siple olded is

2: 3 . At the end o the da$5 "s. ?ohnson and "s. Siple olded a total o 300 report

cards. 2ow man$ did each person old:



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@. At a countr$ concert5 the ratio o the number o bo$s to the number o *irls is 2: 7 . 4 there

are 250 more *irls than bo$s5 how man$ bo$s are at the concert:

Prole! Se(

(. Last summer5 at Camp Okey-Fun-Okey 5 the ratio o the number o bo$ campers to the number

o *irl campers was 8 :7 . 4 there were a total o 195 campers5 how man$ bo$ campers

were there: 2ow man$ *irl campers:

'. The student-to-acult$ ratio at a small colle*e is 17:3 . The total number o students and

acult$ is 740 . 2ow man$ acult$ members are there at the colle*e: 2ow man$ students:

3. The Speed$ /ast Ski 1esort has started to keep track o the number o skiers andsnowboarders who bou*ht season passes. The ratio o the number o skiers who bou*ht

season passes to the number o snowboarders who bou*ht season passes is 1:2 . 4

1,250 more snowboarders bou*ht season passes than skiers5 how man$ snowboarders and

how man$ skiers bou*ht season passes:

@. The ratio o the number o adults to the number o students at the prom has to be 1:10 .

Last $ear there were 477 more students than adults at the prom. 4 the school is epectin*

the same attendance this $ear5 how man$ adults have to attend the prom:



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S.Lesson 5: Solvin* roblems b$ /indin* !uivalent 1atios

math g6 m1 topic a lesson 5 student

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