Astudent uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. the student writes the proportion: 4/6=24/16 explain the error in the student’s work.

The key to solve this problem is using ratios and proportions.

Ratio is the relationship between two numbers, defined as the quotient of one number for the other. So:  The ratio between two numbers a and b is the fraction a/b and it is read a to b. This reason can also be written a : b.

Given two reasons a/b and c/d we say that they are in proportion if a/b = c/d. The terms a and d are called extremes while b and c are the means.  In every proportion the product of the extremes is equal to the product of the means: a.d = b.c

A student uses the ratio of 4 oranges to 6 fluid ounces of juice to find the numbers of oranges needed to make 24 fluid ounces of juice.

The ratio of 4 oranges to 6 fluid ounces of juice is 4/6.

The ratio of x oranges to 24 fluid ounces of juice is x/24

Writing the proportion

4/6 = x/24

Clear x to obtain the oranges needed

x = (4)(24)/6 = 96/6 = 16

Then, the proportion is:

The error in the student's work was that they reversed the reason, 24/16 instead of 16/24.

4+3x is the answer

hope you got it