Kara spent a total of $8.75 on 5 pens and a packet of paper. If the packet of paper cost $3.95, how much did each pen cost?
Choices:
Each pen cost $0.96
Each pen cost $1.20.
Each pen cost $1.75
Each pen cost $4.80.
2. A family purchased t-shirts for a family reunioin. They paid a total of $154 for 8 adult shirts and 15 child shirts. The price of a child shirt was three-fourths the price of an adult shirt. How much was the price of an adult shirt?
Choices:
An adult shirt cost $12.
An adult shirt cost $8.
An adult shirt cost $10.67.
An adult shirt cost $6.70.
3. The three angles in the triangle shown below are labeled M, N, and P. The sum of the interior angle measures of a triangle is 180 degrees.
Angle N is n degrees.
Angle P is two times the measure of angle N.
Angle M is 54 degrees.
Find the value of n.
Choices:
n=60
n=78
n=42
n=63
1. To find the cost of each pen, we need to subtract the cost of the packet of paper from the total amount spent and then divide by the number of pens.
First, subtract the cost of the packet of paper from the total amount spent:
$8.75 - $3.95 = $4.80
Next, divide the remaining amount by the number of pens:
$4.80 / 5 = $0.96
Therefore, each pen cost $0.96.
2. Let's assume the price of an adult shirt is x dollars. According to the problem, the price of a child shirt is three-fourths (3/4) the price of an adult shirt.
Now we can set up an equation to solve for x, the price of an adult shirt:
8x + 15(3/4)x = $154
Simplifying the equation:
8x + 11.25x = $154
19.25x = $154
Now divide both sides of the equation by 19.25 to solve for x:
x = $154 / 19.25
x ≈ $8
Therefore, the price of an adult shirt is approximately $8.
3. We are given the measure of angle M as 54 degrees and the relationship between angles N, P, and N.
We know that the sum of interior angle measures in a triangle is 180 degrees. So we can set up an equation using the given information:
M + N + P = 180
Substituting the given values:
54 + N + 2N = 180
Combining like terms:
3N + 54 = 180
Now, solve for N by subtracting 54 from both sides:
3N = 180 - 54
3N = 126
Finally, divide both sides by 3 to find the value of N:
N = 126 / 3
N = 42
Therefore, the value of n is 42.
If you solve these equations, you will get your answers.
They will be the same, no matter how many names you post under.
#1. 5p + 3.95 = 8.75 (p is the cost of a pen)
#2. 8a + 15(3/4 a) = 154 (a is the price of an adult shirt)
#3. n + 2n + 54 = 180