College

A vegetable patch has potatoes and carrots planted in it. The ratio of potatoes to carrots is 5:2. There are 280 vegetables in total. More potatoes are planted so that the total number of potatoes increases by 10%.

What is the new ratio of potatoes to carrots in the vegetable patch? Give your answer in its simplest form.

Answer :

Answer:

11:4 (I think)

Step-by-step explanation:

First, you have to figure out the number balance in each side of the ratio. I divided 280 by 7 (by adding 5 and 2) which gave me 40. Then, I did 40 x 5 (to get to 5) and then 40 x 2 (to get to 2).

This now makes the ratio 5:2 = 200:80

To get the 10% for potatoes, I figured out that 10% of 200 is 220.

Now, with the numbers 220: 80, you keep on dividing the numbers until you can't anymore, which leaves us with 11:4

Hope this helped! :)

Final answer:

The new ratio of potatoes to carrots, after the number of potatoes is increased by 10%, is 11:4.

Explanation:

From the question, we know that there are 280 vegetables in total and the ratio of potatoes to carrots is 5:2. This means that the vegetables are divided into 7 parts. We can find the number of potatoes by multiplying the total number of vegetables by 5/7, which gives us 200 potatoes. We then increase this number by 10% to get the new number of potatoes, which is 220. The number of carrots remains the same at 80. So, the new ratio of potatoes to carrots is 220:80, which simplifies to 11:4 in its simplest form.

Learn more about Ratios here:

https://brainly.com/question/32531170

#SPJ2

Other Questions