<h3><u>Solution</u></h3>
<u>Given </u><u>:</u><u>-</u>
- Paul is exactly 6yrs older than jane.
- jane.the ratio of their ages is5:3
<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>
<h3><u>E</u><u>x</u><u>p</u><u>l</u><u>a</u><u>n</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u></h3>
<u>Let,</u>
- Age of paul = x years
- Age of jane = y years
<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>to</u><u> question</u>
==> x = 6 + y
==> x - y = 6_____(1)
<u>And,</u>
==> x : y = 5:3
==> x/y = 5/3
==> 3x - 5y = 0______(2)
Multiply by 3 in equ(1)
==> 3x - 3y = 18_____(3)
<u>Subtract</u><u> </u><u>equ(</u><u>2</u><u>)</u><u> </u><u>&</u><u> </u><u>(</u><u>3</u><u>)</u>
==> -5y + 3y = -18
==> -2y = -18
==> y = 18/2
==> y = 9
<u>keep </u><u>in </u><u>equ(</u><u>2</u><u>)</u>
==> 3x - 5×9 = 0
==> 3x = 45
==> x = 45/3
==> x = 15
<h3><u>Hence</u></h3>
<h2><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h2>
To compare two fraction you need to rewrite the fractions so they have a common denominator.
1/2 should have been rewritten as 4/8
The answer is:
D. The fraction 1/2 should have been rewritten as 4/8.
<h3>Total cost of their lunch, including the tip is $ 27.6</h3>
<em><u>Solution:</u></em>
The cost for Dana and Courtney's lunch is $24
They want to leave a 15% tip
To find: total cost of their lunch, including the tip
<em><u>Find the tip amount</u></em>
Tip amount = 15 % of 24
![Tip\ amount = \frac{15}{100} \times 24\\\\Tip\ amount = 0.15 \times 24\\\\Tip\ amount = 3.6](https://tex.z-dn.net/?f=Tip%5C%20amount%20%3D%20%5Cfrac%7B15%7D%7B100%7D%20%5Ctimes%2024%5C%5C%5C%5CTip%5C%20amount%20%3D%200.15%20%5Ctimes%2024%5C%5C%5C%5CTip%5C%20amount%20%3D%203.6)
<em><u>what is the total cost of their lunch, including the tip?</u></em>
Total cost = cost of lunch + tip amount
Total cost = 24 + 3.6
Total cost = 27.6
Thus total cost of their lunch, including the tip is $ 27.6