Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Divide 33 photos into two groups so the ratio is 4:7.

How do you properly write the answer?

4 7
4 7
4 7

4+4+4=12
7+7+7=21

12+21=33

Is that the answer? Or should it be 12/21? Or 12:21?


Sagot :

To do this task the best way is always add both "sides" of ratio and divide whole group by this sum.
sum=4+7=11
33:11=3
Now we know how much is 1 and we can multiply by 4 and by 7 to find the answer.
3*4=12 - first group
3*7=21 - second group

Your result is ok.

The correct answer is:

12:21.

Explanation:

Let x be the part of our 33 photos that represents 4 in our ratio. Then the second part of the ratio, the part that represents 7, will be 33-x, the remaining number of photos.

This gives us the ratio

[tex] \frac{x}{33-x} [/tex]

Since we know we want this ratio to equal 4:7, we can set up a proportion:

[tex] \frac{x}{33-x}=\frac{4}{7} [/tex]

To solve this, we cross-multiply:

x(7) = (33-x)(4)

7x = (33-x)(4)

We use the distributive property on the right:

7x = 33*4-x*4

7x = 132-4x

Add 4x to each side:

7x+4x = 132-4x+4x

11x = 132

Divide both sies by 11:

11x/11 = 132/11

x = 12

The smaller portion of photos, that represents the 4 in our ratio, is 12. This leaves 33-x=33-12=21 for the larger portion of photos. This gives us the ratio 12:21.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.