You originally have x colored pencils in your pencil box. You share them equally between you and your friend. You add in 3 more colored pencils to your own box after sharing them. This gives you a total of 15 pencils.
a) Write an equation and show all of your steps for solving x (the original number of pencils in your box)
b) What if you wanted to have at least 20 pencils left in your box? How many pencils would you have needed originally?
c) Write an inequality and show all steps for solving for x.
make it short pls
a) Equation: (x/2) + 3 = 15
Steps:
1) Subtract 3 from both sides: (x/2) = 12
2) Multiply both sides by 2: x = 24
b) Equation: (x/2) + 3 = 20
Steps:
1) Subtract 3 from both sides: (x/2) = 17
2) Multiply both sides by 2: x = 34
c) Inequality: (x/2) + 3 ≥ 20
Steps:
1) Subtract 3 from both sides: (x/2) ≥ 17
2) Multiply both sides by 2: x ≥ 34
make it seem like an 8th grader wrote it
a) So, let's say you have x colored pencils in your pencil box, and you share them equally with your friend. After that, you add 3 more colored pencils to your own box. Now you have a total of 15 pencils. So, we can write the equation like this: x/2 + 3 = 15.
b) Now, let's say you want to have at least 20 pencils left in your box. How many pencils would you have needed originally? We can write the equation like this: x/2 + 3 = 20.
c) If we want to find the original number of pencils, but it doesn't have to be exact, we can use an inequality. So, the inequality would be x/2 + 3 ≥ 20.
a) Equation: (x/2) + 3 = 15
Subtract 3 from both sides: (x/2) = 12
Multiply both sides by 2: x = 24
b) Equation: (x/2) + 3 = 20
Subtract 3 from both sides: (x/2) = 17
Multiply both sides by 2: x = 34
c) Inequality: (x/2) + 3 ≥ 20
Subtract 3 from both sides: (x/2) ≥ 17
Multiply both sides by 2: x ≥ 34