Ratio Notation and Relationships

Question 1

A necklace contains red beads and blue beads. The ratio of red beads to blue beads is 2:5. What fraction of the total beads are blue?

Accepted Answer

5/7

Answer

2/7

Answer

5/2

Answer

2/5

Question 2

A coach says, “For every 7 soccer drills we run, we do 12 basketball drills.” Which statement correctly describes the number of soccer drills as a fraction of the basketball drills?

Accepted Answer

The soccer drills are 7/12 of the basketball drills.

Answer

The soccer drills make up 7/19 of the total drills.

Answer

The relationship can be written only as the ratio 7:12.

Answer

The soccer drills are 12/7 of the basketball drills.

Question 3

A sack of toys contains green and yellow marbles. The description says, “for every 3 green marbles there are 8 yellow marbles.” Which statement correctly explains why this relationship can be written as 3:8 and also as 3/8 of the yellow marbles?

Accepted Answer

The statement compares green to yellow directly, so the ratio of green to yellow is 3 : 8, written 3:8, and the number of green marbles equals 3/8 of the number of yellow marbles.

Answer

The ratio 3:8 means that 3 of every 8 marbles are green, so the fraction is 3/8 of the total marbles, not of the yellow marbles.

Answer

Because there are 3 green and 8 yellow, the fraction of green marbles out of all marbles is 3/(3+8)=3/11, so the ratio should be written as 3/11.

Answer

Since there are 8 yellow marbles for every 3 green marbles, the ratio of green to yellow is 8 : 3, so it should be written 8:3 or 8/3 of the yellow count.

Try three questions

A necklace contains red beads and blue beads. The ratio of red beads to blue beads is 2:5. What fraction of the total beads are blue?

A coach says, “For every 7 soccer drills we run, we do 12 basketball drills.” Which statement correctly describes the number of soccer drills as a fraction of the basketball drills?

A sack of toys contains green and yellow marbles. The description says, “for every 3 green marbles there are 8 yellow marbles.” Which statement correctly explains why this relationship can be written as 3:8 and also as 3/8 of the yellow marbles?

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