**Some secondary one boys were asked to name their favourite sport. Their choices were represented on the pie chart below.**

There was an equal number of boys who liked athletics and swimming. 80 boys chose football as their favourite sport.

a) What fraction of the boys liked swimming?

b) Find the total number of secondary one pupils who took part in the survey.

There was an equal number of boys who liked athletics and swimming. 80 boys chose football as their favourite sport.

a) What fraction of the boys liked swimming?

b) Find the total number of secondary one pupils who took part in the survey.

**Solution**

100% --> 360 degrees

1% --> 360 degrees divided by 100 = 3.6 degrees

(Rugby) 5% --> 5 x 3.6 degrees = 18 degrees

**a)**

Athletics --> (90 - 18) degrees = 72 degrees

Athletics --> same number as Swimming

Swimming --> 72 degrees

Fraction of boys who liked swimming

--> 72/360 = 1/5

**Answer: 1/5 of the boys**

**b)**

Football --> (100 - 25* - 20** - 15)% = 40%

40% --> 80

10 % --> 80 divided by 4 = 20

100% --> 10 x 20 = 200

*25% --> Athletics + Rugby (90 degress is 25% of 360 degrees)

**20% --> Swimming is 1/5 (20%)

**Answer: 200 boys**

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