Rational number word problems

Google Classroom

Problem

Joelle is working on a school report in a word processor. She wants to place an oversized image which is $30.51 \text{ cm}$30, point, 51, start text, space, c, m, end text wide so that it appears centered on the page. The width of the page is $21.59 \text{ cm}$21, point, 59, start text, space, c, m, end text. In the program, horizontal positions to the right of the leftmost edge of the page are positive.

What horizontal position for the left edge of the image should Joelle use to center the image?

 $\text{ cm}$start text, space, c, m, end text

Hint #11 / 5

The total image width of $\maroonD{30.51} \text{ cm}$start color #ca337c, 30, point, 51, end color #ca337c, start text, space, c, m, end text includes the part of the image extending past the left edge of the page, the part on the page, and the part extending past the right edge of the page.

Hint #22 / 5

To find the width of the image that extends past the page edges, let's subtract the width of the page from the width of the image.

$\maroonD{30.51}-\blueD{21.59}=\purpleC{8.92}$start color #ca337c, 30, point, 51, end color #ca337c, minus, start color #11accd, 21, point, 59, end color #11accd, equals, start color #aa87ff, 8, point, 92, end color #aa87ff

There will be $\purpleC{8.92}\,\text{cm}$start color #aa87ff, 8, point, 92, end color #aa87ff, start text, c, m, end text of the image extending past the edges of the page.

Hint #33 / 5

Since she wants to center the image on the page, the parts extending past each side must be equal.

The width extending past the left edge is equal to $\dfrac{1}{2}$start fraction, 1, divided by, 2, end fraction of the total width extending past the $2$2 edges:

$\dfrac{ \purpleC{8.92} \,\text{cm} }{ 2 } = 4.46\,\text{ cm}$start fraction, start color #aa87ff, 8, point, 92, end color #aa87ff, start text, c, m, end text, divided by, 2, end fraction, equals, 4, point, 46, start text, space, c, m, end text

There will also be $4.46\,\text{cm}$4, point, 46, start text, c, m, end text of the width extending past the right edge of the page.

Hint #44 / 5

Horizontal positions to the right of the leftmost edge of the page are positive.

Since the horizontal position of the image will be $4.46\,\text{cm}$4, point, 46, start text, c, m, end text to the left of the leftmost edge, the position will be negative.

Hint #55 / 5

Joelle should use a horizontal position of $-4.46\,\text{cm}$minus, 4, point, 46, start text, c, m, end text for the left edge of the image.