Question

1 of the 350 songs dmarco downloaded, 24% were free. what is the total number of free songs dmarco downloaded?
a 14
b 84
c 326
d not here
2 liam practices free throws every morning before he goes to school. this morning, liam made 42 out of 50 free throws. which equation can be used to find x, the percent of free throws liam made?
f \\( \frac { 4 2 } { 1 0 0 } = \frac { x } { 5 0 } \\)
g \\( \frac { 0 } { 5 0 } = \frac { x } { 1 0 0 } \\)
h \\( \frac { 1 0 0 } { x } = \frac { 4 2 } { 5 0 } \\)
j \\( \frac { 4 2 } { 5 0 } = \frac { x } { 1 0 0 } \\)
3 during a school assembly, 15 out of 60 students wore orange shirts to show school spirit. what percent of the students did not wear orange shirts?
a 8%
b 15%
c 25%
d 75%
4 tatiana ordered a floral arrangement with 60% roses. the florist told her she would put 15 roses in the arrangement. how many total flowers should tatiana expect in the floral arrangement she ordered?
f 20
g 25
h 28
j 23
5 landon and ella ate dinner at billys barbeque. the cost of dinner was $25.50. they left the waiter a 20% tip. how much money did landon and ella leave for the tip?
record your answer and fill in the bubbles on the grid below. be sure to use the correct place value.
6 brady recorded the number and color of cars in the parking lot. the shaded model represents the percent of white vehicles counted in the parking lot.
if brady counted a total of 81 white cars, how many cars did he count in the parking lot?
f 180
g 100
h 126
j 36

Explanation:

Step1: Calculate the number of free songs

The formula for finding a percentage of a number is \( \text{Part}=\text{Percentage}\times\text{Whole}\). Here, the percentage of free songs is \(24\%=\frac{24}{100} = 0.24\), and the whole number of songs is \(350\).

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Step2: Analyze the equation for Liam's free - throw percentage

The formula for percentage is \(x=\frac{\text{Part}}{\text{Whole}}\times100\). If the part is \(42\) (number of free - throws made) and the whole is \(50\) (number of free - throws attempted), then \(\frac{42}{50}=\frac{x}{100}\) (by cross - multiplying \(x=\frac{42\times100}{50}\)).

Step3: Calculate the percentage of students who did not wear orange shirts

First, find the percentage of students who wore orange shirts. Using the formula \(x=\frac{\text{Part}}{\text{Whole}}\times100\), with part \( = 15\) and whole \(=60\), \(x=\frac{15}{60}\times100=\frac{100}{4}=25\%\). Then, the percentage of students who did not wear orange shirts is \(100\% - 25\%=75\%\).

Step4: Calculate the total number of flowers in Tatiana's arrangement

Let the total number of flowers be \(y\). We know that \(60\%=\frac{60}{100}\) of \(y\) is \(15\). Using the formula \(\text{Part}=\text{Percentage}\times\text{Whole}\), we have \(15 = 0.6y\). Solving for \(y\), \(y=\frac{15}{0.6}=\frac{150}{6}=25\).

Step5: Calculate the tip amount

The cost of dinner is \(C = 25.50\), and the tip percentage is \(20\%=\frac{20}{100}=0.2\). Using the formula \(\text{Tip}=\text{Percentage}\times\text{Cost}\), \(\text{Tip}=0.2\times25.50 = 5.10\).

Step6: Calculate the total number of cars in the parking lot

Count the number of shaded squares (representing white cars) in the model. Assume there are \(45\) shaded squares out of \(100\) (if it's a \(10\times10\) grid). Let the total number of cars be \(N\). We know that \(\frac{45}{100}N = 81\). Solving for \(N\), \(N=\frac{81\times100}{45}=180\).

Answer:

1. D. Not here (since the number of free songs is \(84\) and it's not among the first three options \(14\), \(64\), \(326\))
2. D. \(\frac{42}{50}=\frac{x}{100}\)
3. D. \(75\%\)
4. B. \(25\)
5. \(5.10\)
6. F. \(180\)