Answer:
x = 10
Step-by-step explanation:
soln
9x - 40 = 3x + 20
9x - 3x = 20 + 40
6x = 60
x = 10
![\text{ Jake father can carry } 10\frac{5}{7} \text{ or } \frac{75}{7} \text{ pounds }](https://tex.z-dn.net/?f=%5Ctext%7B%20Jake%20father%20can%20carry%20%7D%2010%5Cfrac%7B5%7D%7B7%7D%20%5Ctext%7B%20or%20%7D%20%5Cfrac%7B75%7D%7B7%7D%20%5Ctext%7B%20pounds%20%7D)
<em><u>Solution:</u></em>
From given question,
Number of pounds Jake carry = ![6\frac{1}{4} \text{ pounds }](https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B4%7D%20%5Ctext%7B%20pounds%20%7D)
Number of pounds his father carry is
times as much as jake
To find: Number of pounds Jake father can carry
<em><u>Convert the mixed fractions to improper fractions</u></em>
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator
![\rightarrow 6\frac{1}{4} = \frac{4 \times 6+1}{4} = \frac{25}{4}\\\\\rightarrow 1\frac{5}{7} = \frac{7 \times 1+5}{7} = \frac{12}{7}](https://tex.z-dn.net/?f=%5Crightarrow%206%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B4%20%5Ctimes%206%2B1%7D%7B4%7D%20%3D%20%5Cfrac%7B25%7D%7B4%7D%5C%5C%5C%5C%5Crightarrow%201%5Cfrac%7B5%7D%7B7%7D%20%3D%20%5Cfrac%7B7%20%5Ctimes%201%2B5%7D%7B7%7D%20%3D%20%5Cfrac%7B12%7D%7B7%7D)
<em><u>Then according to question,</u></em>
![\text{Pounds father carry } = \frac{12}{7} \text{ times the pounds jake carry }\\\\\text{Pounds father carry } = \frac{12}{7} \times \frac{25}{4}\\\\\text{Pounds father carry } = \frac{75}{7}\\\\\text{In terms of mixed fractions, }\\\\\text{Pounds father carry } = \frac{75}{7} = 10\frac{5}{7}](https://tex.z-dn.net/?f=%5Ctext%7BPounds%20father%20carry%20%7D%20%3D%20%5Cfrac%7B12%7D%7B7%7D%20%5Ctext%7B%20times%20the%20pounds%20jake%20carry%20%7D%5C%5C%5C%5C%5Ctext%7BPounds%20father%20carry%20%7D%20%3D%20%5Cfrac%7B12%7D%7B7%7D%20%5Ctimes%20%5Cfrac%7B25%7D%7B4%7D%5C%5C%5C%5C%5Ctext%7BPounds%20father%20carry%20%7D%20%3D%20%5Cfrac%7B75%7D%7B7%7D%5C%5C%5C%5C%5Ctext%7BIn%20terms%20of%20mixed%20fractions%2C%20%7D%5C%5C%5C%5C%5Ctext%7BPounds%20father%20carry%20%7D%20%3D%20%5Cfrac%7B75%7D%7B7%7D%20%3D%2010%5Cfrac%7B5%7D%7B7%7D)
![\text{ Thus, Jake father can carry } 10\frac{5}{7} \text{ or } \frac{75}{7} \text{ pounds }](https://tex.z-dn.net/?f=%5Ctext%7B%20Thus%2C%20Jake%20father%20can%20carry%20%7D%2010%5Cfrac%7B5%7D%7B7%7D%20%5Ctext%7B%20or%20%7D%20%5Cfrac%7B75%7D%7B7%7D%20%5Ctext%7B%20pounds%20%7D)
Well basically you went down $24; 60-24=36. So to find the percentage, you would do 24/60 also known as 40 percent decrease.
The sum of a trapezoid is 360 degrees
45+90+90+x=360
45+180+x=360
225+x=360
x=135