# In a basket of fruits , 1/3 are apples , 1/4 are oranges , 1/5 are bananas .The remaining are mangoes .what part of the basket of fruits aremangoes ? if the total number of fruits is 240 , how...

In a basket of fruits , 1/3 are apples , 1/4 are oranges , 1/5 are bananas .The remaining are mangoes .what part of the basket of fruits are

mangoes ? if the total number of fruits is 240 , how many of eash are there inthe basket ?

*print*Print*list*Cite

1/3 of 240 = 80 apples

1/4 of 240 = 60 oranges

1/5 of 240 = 48 bananas

80+60+48 = 188 mixed fruits/240 total fruits

240-188 = 52 mangoes/ 240 as a reduced fraction =

divide both the numerator and denominator by 2

26/120 =

divide both the numerator and denominator by 2

13/60 mangoes

Check to see if it works by creating equivalent fractions and adding them up to see if they will equal 1 or 60/60.

20/60+15/60+12/60+13/60 = 60/60 = 1

Or convert all of the fractions to decimals and add them up to see if they will equal 1.

This question is best solved if you imagine the basket of fruits as a big pie with different flavors.

say that this pie is comprised of 240 slices.

A third of this pie is apple pie: 240X(1/3)= 80

A fourth of this pie is orange pie: 240X(1/4)=60

A fifth of this pie is banana pie: 240X(1/5)= 48

total slices of pie=apple+orange+banana+mangos

(240)= (80) + (60) + (48) + MangosMangos= 240-80-60-48= 52 mangos

These kind of questions are best approached with a visualization. If you can visualize something, it is much easier to solve. Also, attempting several different approaches to the same question will help you solve math questions and help you in the long run.

This kind of math question would be at about SAT reasoning test math level, and appears often on the test. It is recommended that you review and resolve any mistakes you made during practice so you do well on actual tests.