I need proportion help in math! problem solving!?

Question

a toy manufactuarer made 1424 stuffed animals. they made teddy bears, bunnies, and dogs in the ration of 8:5:3. How many of each kind of stuffed animal did they make?

the main library purchased 938 new books. They want to distribute the new books to three of their branch libraries in the ratio of 3:5:6. How many books will be given to each library?

at a nursery, there are 1248 flowers. There are roses, orchids, and carnations in the ratio of 3:4:6. How many of each kind of flower are there?

a painter brought 96 L of paint. He bought blue, green, and yellow paint in the ratio of 4:3:1. How many liters of each color paint did he buy?

Answer 1

Hello,

I will do one for you and the rest are the same.

Let x = the multiplier. So 8x + 5x + 3x = 1424 then 16x = 1424 so x = 89. Then 8x = 712, 5x = 445 and 3x = 267 adding these we get our 1424.

Hope This Helps!

Answer 2

They made 1424 in a ratio of 8:5:3 which means
1424 = 8a + 5a +3a
where "a" is just some number. If it helps, think "a" as the number of hours they worked. For every hour, they made 8 bears, 5 bunnies and 3 dogs.

Now we solve for "a". First, add up all the "a"
1424 = 16a
and divide both sides by 16
89 = a
So if we use the example, they worked for 89 hours. Now we have to solve for how many bears, bunnies and dogs.
Bears = 8a = 8*89 = 712
Bunnies = 5a = 445
Dogs = 3a = 267
Now to double check, we'll add them up...
712+445+267=1424

You can do the other three problems exactly the same way.

Answer 3

The first answer, I will give you but you have to figure out the rest of them from the work I show you.

There are 1424 stuffed animals. For every 8 teddy bears there are 5 bunnies and 3 dogs.

So 8x + 5x +3x =1424

16x=1424
divide each side by 16
x=89

89 * 8 = 712
There are 712 teddy bears.
89 * 5 = 445
There are 445 bunnies.
89 * 3 = 267
There are 267 dogs.

712 + 445 + 267 = 1424

You would do the same thing to figure out the rest of them.