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Pooja writes 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?(1 point)
units

1 answer

To solve for \( y \) using the ratio \( \frac{x}{3} = \frac{y}{4} \), we can proceed as follows.

  1. Set up the equation based on the information given: \[ \frac{x}{3} = \frac{y}{4} \]

  2. Cross-multiply to eliminate the fractions: \[ 4x = 3y \]

  3. Rearranging the equation gives: \[ y = \frac{4x}{3} \]

  4. Substitute \( x = 15 \) into the equation: \[ y = \frac{4 \times 15}{3} \]

  5. Calculate: \[ y = \frac{60}{3} = 20 \]

Thus, the value of \( y \) is \( 20 \) units.