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Answer:
32 black grapes are there.
Step-by-step explanation:
Let the number be x.
As per the statement:
In a bowl of fruit there are green grapes and black grapes in the ratio 3:4
⇒Number of green grapes in bowl = 3x and
Number of black grapes in bowl = 4x
It is also given that if there are 24 green grapes.
⇒ 3x = 24
Divide both sides by 3 we have;
[tex]x = 8[/tex]
Number of black grapes are there in bowl = 4x =4(8) = 32
Therefore, 32 black grapes are there.
The number of black grapes is equal to 32
Data given;
- ratio = 3:4
- green grapes = 24
- black grapes = ?
Ratio
This is the division of a substance into 2 or more part with a fraction attached to them.
let the number of green grapes = 3x
let the number of black grapes = 4x.
from the green grapes,
[tex]3x=24\\3x/3=24/3\\x=8[/tex]
Using the value of x, let us substitute it into 4x and find the number black grapes.
[tex]y=4x\\x=8\\y=4(8)\\y=32[/tex]
From the calculation above, the number of black grapes are 32.
Learn more about ratio here;
https://brainly.com/question/1781657
