Question

use the following table to answer parts (a) through (c) below.
tuition
and fees
books and
supplies
room
and
board
transportation
other
expenses
total
$2,849
$1,431
$7,724
$1,751
$2,376
$16,131
1

100
(type integers or decimals rounded to two decimal places as needed.)
(b) a student spends 5.40 times as much on room and board as on books and supplies.
(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 \\(\square : \square\\).
(type integers or decimals rounded to two decimal places as needed.)

Explanation:

Step1: Calculate the part - to - whole ratio for room and board

The formula for the part - to - whole ratio is \(\frac{\text{Part}}{\text{Whole}}\). For room and board, the part is \(7724\) and the whole is \(16131\). So the ratio is \(\frac{7724}{16131}\).

Step2: Scale the ratio

We want to scale the second quantity (the whole) to \(100\). Let \(x\) be the value of the part when the whole is \(100\). We use the proportion \(\frac{7724}{16131}=\frac{x}{100}\). Cross - multiply: \(16131x = 7724\times100\), then \(x=\frac{7724\times100}{16131}\).

$$x=\frac{772400}{16131}\approx47.88$$

Answer:

\(47.88:100\)