Question

use the following table to answer parts (a) through (c) below.
tuition and fees\tbooks and supplies\troom and board\ttransportation\tother expenses\ttotal
$2,849\t$1,431\t$7,724\t$1,751\t$2,376\t$16,131
\t1\t\t\t\t
\t\t\t\t\t100

(c) compute the part-to-whole ratio of each part (room and board, and books and supplies) and scale the second quantity to 100.
the scaled part-to-whole ratio for room and board is 47.88 : 100 .
(type integers or decimals rounded to two decimal places as needed.)
the scaled part-to-whole ratio for books and supplies is \\(\square : \square\\).
(type integers or decimals rounded to two decimal places as needed.)

Explanation:

Step1: Calculate the ratio of books and supplies to total

The formula for part - to - whole ratio is \(\frac{\text{Part}}{\text{Whole}}\). Here, the part is the cost of books and supplies (\(a = 1431\)) and the whole is the total cost (\(b=16131\)). So the ratio is \(\frac{1431}{16131}\).

Step2: Scale the ratio to have the second quantity as 100

Let the scaled first quantity be \(x\). We know that \(\frac{1431}{16131}=\frac{x}{100}\). Cross - multiply gives \(16131x = 1431\times100\). Then \(x=\frac{1431\times100}{16131}\).
Calculate \(1431\times100 = 143100\), and \(143100\div16131\approx8.87\)

Answer:

\(8.87:100\)