Question

Solve the proportion 42/15=p/10

Answer 1

To solve the proportion 42/15 = p/10, cross multiply to get 42*10 = 15*p, which simplifies to 420 = 15p. Dividing both sides by 15 leads to p = 28.

Step-by-step explanation:

The student is tasked with solving the proportion 42/15 = p/10. To solve for p, one needs to cross multiply the terms of the proportion. This means multiplying the numerator of one fraction by the denominator of the other fraction, and doing the same with the remaining numerator and denominator, thereby setting up an equation.

The equation from the cross multiplication is 42 × 10 = 15 × p. Performing the multiplications results in 420 = 15p. To isolate p, divide both sides of the equation by 15, which yields p = 28.

Therefore, the value of p in the original proportion is 28.

Answer 2

Consider the given proportion,

`(42)/(15)=(p)/(10)`

Cross multiplying in the above equation, we get

`42 * 10 = p * 15`

Dividing both sides of the above equation by 15, we get

`(42 * 10)/(15) = p`

`p = 14 * 2`

p = 28

So, the value of 'p' in the given proportion is '28'.