### Video Transcript

The ratio of the number of cups of
diced tomatoes to the number of cups of diced cucumbers for a salad recipe is nine to
seven. If a salad recipe called for
three-sevenths of a cup of diced tomatoes, determine how many cups of diced cucumbers are
needed.

We are told in the question that the
ratio of tomatoes to cucumbers is nine to seven. We need to work out the number of cups
of diced cucumbers that would be required for a recipe involving three-sevenths of a cup
of diced tomatoes. There are lots of ways of approaching
this problem. But remember, whatever we do to one
side of the ratio we must do to the other.

Nine divided by three is equal to
three. Therefore, we could work out the number
of cups of diced cucumbers required for three cups of diced tomatoes by dividing seven by
three. This is equal to seven-thirds. Three divided by seven is equal to
three-sevenths. We could, therefore, divide
seven-thirds by seven to work out the number of cups of diced cucumbers required. Seven-thirds divided by seven is equal
to one-third. If a salad recipe called for
three-sevenths of a cup of diced tomatoes, we would need one-third of a cup of diced
cucumbers.

An alternative method which is often
used in recipe problems would be to find the number of cups of cucumbers required for one
cup of tomatoes first. This would work out the unit value and
would allow us to scale up and down as required.