Samantha has triple the number of braclets as Ruth. Ruth has x braclets. All together, they have 48 braclets. Find the value of x.
x+3x = 48
4x=48
x=12
Check:
x+3x=48
12+3(12)
48=48
x + 3x = 48
4x = 48
x = ?
Let's break down the problem step by step.
Step 1: Let's set up an equation based on the information given. We know that Samantha has three times the number of bracelets as Ruth. We can express this as:
Samantha's number of bracelets = 3 * Ruth's number of bracelets
Step 2: We also know that Ruth has x bracelets. Using this information, we can substitute x into the equation from Step 1 to solve for Samantha's number of bracelets:
Samantha's number of bracelets = 3 * x
Step 3: We are given that the total number of bracelets is 48. So, we can write the following equation:
Samantha's number of bracelets + Ruth's number of bracelets = 48
Step 4: Substitute the expressions we found for Samantha's and Ruth's number of bracelets into the equation from Step 3:
3 * x + x = 48
Step 5: Simplify the equation by combining like terms:
4x = 48
Step 6: Solve for x by dividing both sides of the equation by 4:
x = 48 / 4
Step 7: Calculate the value of x:
x = 12
Therefore, Ruth has 12 bracelets.
To find the value of x, we can set up an equation based on the information given in the problem.
Let's say Ruth has x bracelets. According to the problem, Samantha has triple the number of bracelets as Ruth, so Samantha has 3x bracelets.
Together, they have 48 bracelets, so we can add their individual bracelet quantities together:
x + 3x = 48
Combining like terms, we have:
4x = 48
Now, we can solve for x by dividing both sides of the equation by 4:
4x/4 = 48/4
x = 12
Therefore, the value of x is 12.