Write a proportion using an unknown value x and the ratio 5:6 then solve it.
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?
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.
1. More specifics here are needed. The x could go on either side of the proportion and the x could have a higher value? is there?
2. 1:3 Ratio (1 Trombone for 3 Violas)
a. 3t = 9
b. 3
3. 5:16 ratio. Multiplying this ratio by 5 nets us 25:80 ratio. There are 25 grade 4 swimmers
1. 5/6 = x/12
6 * 2 = 12
5 * 2 = 10
x = 10
does that work?
2. 1/3 = t/9
3 * 3 = 9
1 * 3 = 3
t = 3
so yeah i think we're right
3. i don't quite understand, if you can write it out like how i write out the above answers that'd be great.
Item 7
The school team has 80 swimmers. The ratio of seventh-grade swimmers to all swimmers is 5 : 16. Write a proportion that gives the number ss of seventh-grade swimmers.
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Item 8
The school team has 80 swimmers. The ratio of seventh-grade swimmers to all swimmers is 5 : 16. Write a proportion that gives the number ss of seventh-grade swimmers.
To write a proportion using an unknown value x and a given ratio, we can use the format:
x:1 = ratio
For example, if the given ratio is 5:6, the proportion can be written as:
x:1 = 5:6
To solve the proportion, we cross-multiply and solve for x. Let's go step by step:
1. Cross-multiply:
(x)(6) = (1)(5)
2. Simplify:
6x = 5
3. Divide both sides by 6 to isolate x:
6x/6 = 5/6
4. Simplify:
x = 5/6
So, the unknown value x is equal to 5/6.