Writing and Solving Proportions

There are 3 referees for every 16 players. Write a proportion that gives the number of referees ( r ) for 128 players.

• A) ( 3/16 = r/128 )

• B) ( 16/3 = 128/r )

• C) ( 3/16 = 128/r )

• D) ( 16/3 = r/128 )

You can buy 48 seashells for $15. How many seashells can you buy for $37.50?

• A) 120 seashells

• B) 96 seashells

• C) 150 seashells

• D) 72 seashells

You need 252 gift bags for an event. You found a gift bag that costs $6.50 for 21 bags. Your budget is $75. Is the gift bag within your budget? Justify your answer.

• A) Yes, because 252 bags will cost $78, which is over the budget.

• B) No, because 252 bags will cost $78, which is over the budget.

• C) Yes, because 252 bags will cost $72.50, which is within the budget.

• D) No, because 252 bags will cost $72.50, which is within the budget.

A recipe calls for ( 3/4 ) cup of sugar and ( 1/2 ) cup of brown sugar. You are reducing the recipe. You will use ( 1/6 ) cup of brown sugar. How much sugar will you use?

• A) ( 1/4 ) cup

• B) ( 1/8 ) cup

• C) ( 1/2 ) cup

• D) ( 3/8 ) cup

Give two possible pairs of values for ( p ) and ( q ) if ( 7/10 = p/q ).

• A) ( p = 7, q = 10 ) and ( p = 14, q = 20 )

• B) ( p = 10, q = 7 ) and ( p = 20, q = 14 )

• C) ( p = 70, q = 100 ) and ( p = 140, q = 200 )

• D) Both A and C

Solve the proportion.

26 : 54 and x : 27

A dance team has 80 dancers. The ratio of seventh-grade dancers to all dancers is 5:16 . Find the number of seventh-grade dancers on the team.

In an orchestra, the ratio of trombones to violas is 1 to 3. There are 9 violas. How many trombones are in the orchestra?