Question

A basket has as many mangoes as it has oranges. Three-fourths of the fruits are yellow. One half of the fruits are ripe. Which of the following statements is definitely true?

a. All fruits are ripe

b. At least one half of the oranges c. All mangoes are ripe

d. None of these

are yellow​

Answer 1

Answer:

no of oranges= no of mangoes

->so, half are mangoes and half are oranges

as given one half of fruits are ripe and 3/4 th are yellow

->hence possibilities are:

1. (half of oranges are ripe) because of 3/4th are yellow so 1/4th are ripe oranges and 2/4th of mangoes are yellow

I hope it helps you

plz mark me as brainliest

tq

Answer 2

Given :- A basket has as many mangoes as it has oranges. Three-fourths of the fruits are yellow. One half of the fruits are ripe. Which of the following statements is definitely true ?

A) All fruits are ripe

B) At least one half of the oranges are yellow.

C) All mangoes are ripe .

D) None of these .

Solution :-

Let ,

→ Mangoes = Oranges = x

so,

→ Yellow fruits = (3/4) of 2x = (3x/2)

and,

→ Ripe fruits = (1/2) of 2x = x .

since ripe mangoes are yellow in color .

if we assume all mangoes are ripe(yellow), then,

→ (3x/2) - x = (x/2) oranges are yellow .

and if we assume atleast some of the mangoes are yellow, then also,

→ (3x/2) - (mangoes) ≥ (x/2) .

therefore, we can conclude that, at least one half of the oranges are yellow .

Hence, Option (B) is correct answer .

Learn more :-

A cylindrical overhead container is filled by two pumps P1 and P2. P1 can fill the container in 8 hr while P2 can fill t...

https://brainly.in/question/38540894