Question

A fruit salad is made from pineapples, pears, and peaches mixed in the ratio of \[2{\text{ }}to{\text{ }}3{\text{ }}to{\text{ }}5,\] respectively, by weight. What fraction of the mixture by weight is pineapple? Can you explain this so I can understand how it works?
(A)$\dfrac{1}{5}$
(B)$\dfrac{3}{{10}}$
(C)$\dfrac{2}{5}$
(D)$\dfrac{1}{2}$
(E)$\dfrac{2}{3}$

Answer 1

Hint: To begin with these questions, we will first take the total share\[/\]pounds and we will calculate the fraction of pineapple. Whenever we are given a ratio, we add the terms of the ratio to get the total amount.


Complete step by step solution:
We are given that,
pineapple:pears: peaches \[ = {\text{ }}2:3:5\]
adding the terms, we have \[ = {\text{ }}2 + 3 + 5{\text{ }} = {\text{ }}10\]
So, the mixture has a total of \[10\] pounds of fruit. In which the mixture has \[2\] pounds pineapples, \[3\] pounds pears and \[5\] pounds peaches. The fraction of the mixture by weight is pineapple:
\[ = \dfrac{{Weight{\text{ }}of Pineapple}}{{TotalWeight}} = \dfrac{2}{{10}} = \dfrac{1}{5}\]
$\dfrac{{weight{\text{ }}of{\text{ }}pineapple}}{{total{\text{ }}weight}}$ $\therefore $$\dfrac{1}{5}$ pineapple by weight.
So, Option A is correct


Note: When solving questions like these,make sure you find out all the required quantities which has been asked for.In this case,only for pineapple it has been asked,so we calculated only the ratio of pineapple.If other quantities are asked,we will calculate them too