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Focus on question 14 and 16
Topic: Multiplying and dividing fractions

14  1/5

16.  1330 km

Step-by-step explanation:

 16.  The driving distance is 570 km from W to R

The driving distance from W to C is 2 1/3 times W to R

2 1/3 * 570

Change to an improper fraction

7/3 * 570

1330

The driving distance is 1330 km

14.  3/5ths are girls

1/3 of the girls walk

3/5 * 1/3 = 1/5

1/5 of the class is girls who walk

14. 1/5

16. 1330 km

Step-by-step explanation:

14. 1/5

P(girl) = 3/5. This information is clear.

P(walk | girl) = 1/3. The | sign means "given;" given that the person is a girl, we know that there is a 1/3 chance she walks to school.

This question wants to know what proportion of the class is both a girl and walks to school; because of the use of the word and, we know this is the intersection of two events, symbolized ⋂.

The formula for intersection is P(A ⋂ B) = P(A) * P(A|B).

P(girl ⋂ walk) = P(girl) * P(walk | girl)

                      = 3/5 * 1/3 = 3/15 = 1/5

16. 1330 km

So let's represent these with variables.

From Winnipeg to Regina is 570 km, so WR = 570.

From Winnipeg to Calgary is 2 1/3 times WR, so WC = 2 1/3 * WR.

We can just use substitution to combine these two equations.

WC = 2 1/3 * WR

WC = 2 1/3 * 570 = 1330 km