Question

A school cafeteria makes cheese sauce for macaroni using 15 cups of swiss cheese 17 cups of cheddar cheese. Perry tries to make the sauce for a family party using 5 cups of swiss cheese and 7 cups of cheddar cheese. is Perry using the correct ratio? explain. (pls do explain. it's on my school work and I need an explanation.)

(middle school ratios)

Answer 1

Cafeteria ratio of Swiss cheese to cheddar cheese is 15:17.

Perry’s ratio of Swiss chess to cheddar cheese is 5:7.

Wrong ratio because 5 * 3 = 15 but 7 * 3 does not equal 17.

Answer 2

For this case we have that by definition, it is known as proportion to the relationship of equality that exists between two reasons, that is, between two comparisons. That is: if
`\frac {a} {b}`is a ratio, then the equality
`\frac {a} {b} = \frac {c} {d}` will be a proportion.

Then, 15 cups of Swiss cheese for every 17 cheddar:

1
`5:17\\\frac {15} {17}`

We want to verify the proportion:

`15:17 :: 5: 7\\\frac {15} {17} = \frac {5} {7}\\7 * 15 = 5 * 17`

Equality is not met!

Answer:

You are not using the correct proportion