Pooja write the ratio x/3 = y/4 to help her increase the size of a two dimensional shape. If the new value of X is 15 units, what will be the value of Y?
Answers for the practice:
1. 20
2. 0.75 or .75
3. 2.5
4. 2.25
5. 625
Answers for the quick check:
1. 3
2. 7.5
3. 150
4. 0.75
5. 96
We can solve for the value of y by setting up a proportion:
x/3 = y/4
Substitute x with the new value, 15:
15/3 = y/4
Simplify:
5 = y/4
Multiply both sides by 4:
y = 20
Therefore, the value of y will be 20 units.
To solve this problem, we'll use the given ratio x/3 = y/4. The ratio states that x is to 3 as y is to 4.
First, let's find the value of y when x is 15 units. We'll set up a proportion and solve for y.
x/3 = y/4
Substitute the value of x as 15 units:
15/3 = y/4
By cross-multiplication, we have:
15 * 4 = 3 * y
60 = 3y
Now, divide both sides of the equation by 3 to isolate y:
60/3 = y
20 = y
Therefore, when the new value of x is 15 units, the value of y will be 20 units.
To find the value of Y, we can use the given ratio equation:
x/3 = y/4
Given that the new value of x is 15 units, we substitute that into the equation:
15/3 = y/4
We can simplify the equation by multiplying both sides by 3:
15 = (3/4) * y
To isolate y, we can multiply both sides by 4:
15 * 4 = 3y
60 = 3y
Finally, divide both sides by 3 to solve for y:
60 / 3 = y
The value of y is 20 units.