A company sells a mix of peanuts and cashews. For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounces of peanuts. How many ounces of cashews will a batch have?
Answer:
Proportion states that the two ratios or fraction are equal.
As per the given statement: For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounces of peanuts.
Let x be the ounces of cashew will a batch have.
then by definition of proportion, we have;
\(\frac{3}{2} = \frac{60}{x}\)
By cross multiply we have;
\(3x = 120\)
Divide by 3 on both sides we get;
\(x = 40\)
therefore, 40 ounces of cashews will a batch have for every 60 ounces of peanuts.