Question

Tara makes two batches of purple food coloring. The table show the number of drops of red and blue coloring she uses for each batch. Do the two batches use the same number of drops of red per drop of blue.

Answer 1

Given data:

The number of red drops for first batch are r=100.

The number of blue drops for first batch are b=20.

The number of red drops for second batch are r'=75.

The number of blue drops for second batch are b'=15.

The expression for the red per blue drop for first batch is,

n=r/b

Substitute the given values in the above expression.

n=100/20

=5

The expression for the red drop per blue drop of the second batch is,

n'=r'/b'

Substitute the given values in the above expression.

n'=75/15

=5

Thus, yes the ratio of red to the blue drop is same for both batches.