A pencil case contains pens, pencils and crayons.The ratio of pens to pencils is 10𝑛:9.The ratio of pencils to crayons is 10:9𝑛.Work out the ratio of pens to crayons.Give your answer in its simplest form.
Question
A pencil case contains pens, pencils and crayons.The ratio of pens to pencils is 10𝑛:9.The ratio of pencils to crayons is 10:9𝑛.Work out the ratio of pens to crayons.Give your answer in its simplest form.
Solution
To solve this problem, we need to find a common ratio for the pencils in both given ratios.
- The ratio of pens to pencils is 10n:9.
- The ratio of pencils to crayons is 10:9n.
We can see that if we make 10n (the number of pencils in the first ratio) equal to 10 (the number of pencils in the second ratio), we can find a common ratio.
So, we set 10n = 10.
Solving for n, we get n = 1.
Substituting n = 1 into the ratios, we get:
- The ratio of pens to pencils is 10*1:9, which simplifies to 10:9.
- The ratio of pencils to crayons is 10:9*1, which simplifies to 10:9.
Therefore, the ratio of pens to crayons is 10:9.
Similar Questions
The ratio of pencils to pens is 6:7Given that there are 65 pencils and pens in total, calculate how many pencils there are.
Jason has 12 pens and 30 pencils. He wants to distribute the pens and pencils into groups, with each group having the same ratio of pens to pencils. How many groups like these can be created?
A box contains only red, blue and green pens.The ratio of red pens to blue pens is 5 : 9.The ratio of blue pens to green pens is 1 : 4.Calculate the percentage of pens that are blue.
A box contains 3 plain pencils and 3 pens. A second box contains 1 color pencil and 9 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected?Write your answer as a fraction in simplest form.
A pencil costs $5.40. A notebook costs $6.50 more than a pencil. A pencil bag costs$18.30. How much more expensive is a pencil bag than a notebook? A pencil bag is _______ dollars more expensive than a notebook.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.