Lucy makes 1 bracelet and 3 rings. Then she makes 4 more items. Now she has the same number of bracelets and rings. How many of each does she make?
To solve this problem, let's break it down step by step:
1. Lucy starts by making 1 bracelet and 3 rings.
2. She then makes 4 more items in addition to the initial 1 bracelet and 3 rings.
3. Now she has the same number of bracelets and rings.
To find out how many bracelets and rings she has, let's use variables to represent the unknown numbers.
Let's assume that the number of bracelets she makes is B, and the number of rings she makes is R.
According to the information given:
1. Initially, she makes 1 bracelet and 3 rings.
So, we can write the equation as:
B = 1 and R = 3 (Equation 1)
2. She makes 4 more items in addition to the initial 1 bracelet and 3 rings.
So, the total number of bracelets and rings would be:
B + R + 4 (Equation 2)
3. Now she has the same number of bracelets and rings.
So, B = R (Equation 3)
Using these equations, we can solve for B and R.
Let's substitute Equation 1 into Equation 2:
1 + 3 + 4 = B + R + 4
8 = B + R + 4
Now, substitute Equation 3 into the above equation:
8 = R + R + 4
8 = 2R + 4
Subtract 4 from both sides:
8 - 4 = 2R + 4 - 4
4 = 2R
Divide both sides by 2:
4/2 = 2R/2
2 = R
Therefore, Lucy made 2 rings.
Now, substitute the value of R into Equation 3 for B:
B = R = 2
So, Lucy made 2 bracelets and 2 rings.