1. 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?
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?
3. Imagine a normal triangle!
The three angles in the triangle 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.
#1. 5p + 3.95 = 8.75
#2. 8a + 15(3/4 a) = 154
#3. n + 2n + 54 = 180
These are the equations you need to solve to answer the questions posed.
OHH! I didnt realize, i got confused with the =. Thanks.
1. To find the cost of each pen, we need to subtract the cost of the packet of paper from the total cost spent by Kara. Kara spent $8.75 in total and $3.95 on the packet of paper. So, we subtract $3.95 from $8.75 to get $4.80.
Now, since Kara bought 5 pens, we divide the total cost of the pens ($4.80) by the number of pens (5). Therefore, each pen costs $0.96.
2. Let's assume the price of an adult shirt is A dollars. According to the given information, the price of a child shirt is three-fourths the price of an adult shirt.
So, the price of a child shirt can be calculated by multiplying three-fourths of the price of an adult shirt. Therefore, the price of a child shirt is (3/4)*A = 3A/4 dollars.
The family purchased 8 adult shirts, so the total cost of the adult shirts is 8A dollars. They also purchased 15 child shirts, so the total cost of the child shirts is 15*(3A/4) = 45A/4 dollars.
The total cost of all the shirts is $154. Therefore, we can set up an equation:
8A + (45A/4) = 154
To solve this equation, we can multiply the entire equation by 4 to get rid of the fraction:
32A + 45A = 616
Combining like terms, we have:
77A = 616
Now, we can isolate A by dividing both sides of the equation by 77:
A = 616/77 = $8
Therefore, the price of an adult shirt is $8.
3. We are given that the sum of the interior angle measures of a triangle is 180 degrees. Let's label angle N as n degrees.
According to the problem, angle P is two times the measure of angle N. So, angle P is 2n degrees.
Angle M is given as 54 degrees.
To find the value of n, we can set up an equation by summing up the angle measures:
n + 2n + 54 = 180
Combining like terms, we have:
3n + 54 = 180
Next, let's isolate 3n by subtracting 54 from both sides:
3n = 180 - 54
Simplifying the right side, we have:
3n = 126
Finally, we can solve for n by dividing both sides by 3:
n = 126 / 3 = 42
Therefore, the value of n is 42 degrees.