Start by converting \(\displaystyle 136\%\) to a decimal. To do this, move the decimal point to the left to spaces.

\(\displaystyle 136\%=1.36\)

Now multiply by \(\displaystyle 16\).

\(\displaystyle 1.36\times 16=21.76\)

Cross multiply the two fractions.

\(\displaystyle 5(9) = 8(2x)\)

\(\displaystyle 45 = 16x\)

Divide by 16 on both sides.

\(\displaystyle \frac{45}{16} = \frac{16x}{16}\)

The answer is:  \(\displaystyle \frac{45}{16}\)

Cross multiply the two terms.

\(\displaystyle 7(3) = 8(2x)\)

Simplify the terms.

\(\displaystyle 21 = 16x\)

Divide by 16 on both sides.

\(\displaystyle \frac{21}{16} = \frac{16x}{16}\)

The answer is:  \(\displaystyle \frac{21}{16}\)

Cross multiply both fractions.

\(\displaystyle 7(9) = 4x\)

Divide by four on both sides.

\(\displaystyle \frac{7(9)}{4} = \frac{4x}{4}\)

The answer is:  \(\displaystyle \frac{63}{4}\)

Cross multiply the two fractions.

\(\displaystyle 8x = 5(3x+1)\)

Simplify the right side.

\(\displaystyle 8x =15x+5\)

Subtract \(\displaystyle 15x\) on both sides.

\(\displaystyle 8x-15x =15x+5-15x\)

\(\displaystyle -7x = 5\)

Divide by negative seven on both sides.

\(\displaystyle \frac{-7x }{-7}= \frac{5}{-7}\)

The answer is:  \(\displaystyle -\frac{5}{7}\)

Let \(\displaystyle x\) be the gallons of blue paint needed. We can setup the following equation using the given ratio.

\(\displaystyle \frac{3}{5}=\frac{x}{17}\)

Cross-multiply and solve for \(\displaystyle x\).

\(\displaystyle 5x=51\)

\(\displaystyle x=10.2\)

The painter must use \(\displaystyle 10.2\) gallons of blue paint.

To maintain the correct ratio of birds to mammals to reptiles, let \(\displaystyle 2x\) be the number of birds, \(\displaystyle 5x\) be the number of mammals, and \(\displaystyle 6x\) be the number of reptiles.

We can then write the following equation:

\(\displaystyle 2x+5x+6x=195\)

Solve for \(\displaystyle x\).

\(\displaystyle 13x=195\)

\(\displaystyle x=15\)

Since the question asks for the number of reptiles, we will need to find the value of \(\displaystyle 6x\).

\(\displaystyle 6x=6(15)=90\)

The zoo has \(\displaystyle 90\) reptiles.

If \(\displaystyle 2\) workers can paint \(\displaystyle 100\) square feet of wall in \(\displaystyle 3\) hours, that means each painter must paint \(\displaystyle 50\) square feet of wall in \(\displaystyle 3\) hours. Thus, each painter must paint \(\displaystyle \frac{50}{3}\) square feet of wall in each hour.

Now, if each painter can paint \(\displaystyle \frac{50}{3}\) square feet in one hour, then \(\displaystyle 6\) painters can paint \(\displaystyle 100\) square feet of wall in one hour. As the six painters can paint \(\displaystyle 100\) square feet in one hour, then it will only take them \(\displaystyle 2\) hours to paint \(\displaystyle 200\) square feet.

Start by finding the commission that Sarah earned.

Convert the percentage into a decimal:

\(\displaystyle 7\%=0.07\)

Next, multiply this by the amount of products that Sarah was able to sell to find her commission.

\(\displaystyle 6325.11(0.07)=442.76\)

Make sure that you rounded to the nearest cent.

Now, add the commission to the base pay to find her total paycheck.

\(\displaystyle 780+442.76=1222.76\)

In order to find what the value of the goods she sold was, we need to first figure out the amount she earned from her commission. Do this by subtracting out the weekly base pay from her total pay.

\(\displaystyle \text{Pay from Commission}=649.84-550=99.84\)

Now, we know that \(\displaystyle 99.84\) must be the amount from the commission. Since Emily earns \(\displaystyle 8\%\) of her total sales as commission, this amount must also represent \(\displaystyle 8\%\) of the value of the goods she sold.

We can then set up the following equation. Let \(\displaystyle x\) be the value of goods Emily sold.

\(\displaystyle 0.08x=99.84\)

\(\displaystyle x=1248\)