The ratio of pencils to pens is 6:7Given that there are 65 pencils and pens in total, calculate how many pencils there are.
Question
The ratio of pencils to pens is 6:7
Given that there are 65 pencils and pens in total, calculate how many pencils there are.
Solution
Step 1: Understand the problem. The problem states that the ratio of pencils to pens is 6:7 and the total number of pencils and pens is 65. We need to find out how many pencils there are.
Step 2: Add the two parts of the ratio together. 6 (for pencils) + 7 (for pens) = 13.
Step 3: Divide the total number of pencils and pens (65) by the sum of the ratio (13). 65 ÷ 13 = 5. This gives us the value of 1 part of the ratio.
Step 4: Multiply the value of 1 part of the ratio (5) by the number of parts for pencils (6). 5 x 6 = 30.
So, there are 30 pencils.
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