Question

1. Write a proportion using an unknown value x and the ratio 5:6 then solve it.
5/6 = x/12
6 * 2 = 12
5 * 2 = 10
x = 10

2. In an orchestra, the ratio of trombones to violas is 1 to 3.
There are 9 violas, Write a proportion that gives the number t of trombones in the orchestra.
How many trombones are in the orchestra?
1/3 = t/9
3 * 3 = 9
1 * 3 = 3
t = 3

3. The school team has 80 swimmers. The ratio of grade 4 swimmers to all swimmers is 5:16. Write a proportion that gives the number s of grade 4 swimmers.
I'm having a hard time with this one, can someone walk me through it?

Answer 1

1. Yes
2. Yes
3.
Let n = number of 4th grade swimmers
The ratio of 4th grade swimmers to the total swimmers is 5:16 or 5/16. The total number of swimmers is 80.
Therefore,
n/80 = 5/16

If you solve this, you'll have n = 25 swimmers (4th grade)

hope this helps~ `u`

Answer 2

Thank you so much!

Answer 3

10/? = 6/3
10/? =6/3 divided by?/3
10/?=?/1
10/?=2/1 times ?/?
10/? =10/?
? =