Irfan manages a coffee shop. He samples 50 of his customers and asks them about their favourite espresso
coffee capsule.
Taste
Frequency
His results are shown in the table.
Volluto
12
Livanto
7
Ristretto
23
Cosi
3
Other
5
Irfan is going to refill his stock of espresso capsules based on this survey.
He is planning on ordering 500 capsules.
How many of these should be Ristretto capsules?

i think it is x = 1.2

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.