<h3><u>Question:</u></h3>
Bruce bought two books one Book cost four more than three times the other, together the two books cost him 72
. find prices for the two books
<h3><u>Answer:</u></h3>
The price of books are $ 17 and $ 55
<h3><u>Solution:</u></h3>
Let "x" be the cost of one book
Given that one Book cost four more than three times the other
Then, other book cost = 4 + 3x
Also given that together the two books cost 72
cost of one book + cost of other book = 72
x + 4 + 3x = 72
The above equation is used to solve the problem
x + 4 + 3x = 72
4x + 4 = 72
4x = 72 - 4
4x = 68
x = 17
Thus cost of one book is $ 17
Then cost of other book is 4 + 3x = 4 + 3(17) = 4 + 51 = 55
The other book costs $ 55
Answer:
x = 2
Explanation:
![\frac{3x-1}{5} =\frac{x+1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3x-1%7D%7B5%7D%20%3D%5Cfrac%7Bx%2B1%7D%7B3%7D)
First, make sure they both have common denominators ( 15 )
5 × 3 = 15 and 3 × 5 = 15
Whatever you do to the denominator you have to apply to the numerator. So, multiply the numerator and denominator of the first fraction by 3.
=
Next, multiply the numerator and denominator of the second fraction by 5.
= ![\frac{5(x+1)}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B5%28x%2B1%29%7D%7B15%7D)
Now we have: ![\frac{3(3x-1)}{15} =\frac{5(x+1)}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B3%283x-1%29%7D%7B15%7D%20%3D%5Cfrac%7B5%28x%2B1%29%7D%7B15%7D)
Use distributive property on the numerators of both fractions.
![\frac{9x-3}{15} =\frac{5x+5}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B9x-3%7D%7B15%7D%20%3D%5Cfrac%7B5x%2B5%7D%7B15%7D)
Since the denominators are equal we can ignore them for now and find x.
9<em>x </em>- 3 = 5<em>x</em> + 5
We need to move like terms to different sides to isolate x. First, we can subtract 5<em>x</em> from both sides.
9<em>x</em> - 5<em>x</em> - 3 = 5<em>x</em> - 5<em>x</em> +5
4<em>x</em> - 3 = 5
Then, we can add 3 to both sides to cancel out the -3.
4<em>x</em> - 3 + 3 = 5 + 3
4<em>x</em> = 8
Finally, to find x we divide both sides by 4.
4x ÷ 4 = 8 ÷ 4
x = 2
Answer:
Step-by-step explanation:
if you need help let me know
X - 34 - 56 - 89 - d - π + 71
Collect the like terms:
34 - 56 - 89 + 71 = -40
Answer: -40 + x - d - π
Answer:
From least to greatest
1. 17/24
2. 5/8
3. 1/3
Explanation: The fraction with the smaller denominator is the larger fraction