Question

Sonny substituted 5 for x in the proportion StartFraction 16 over x EndFraction = StartFraction 48 over 15 EndFraction and cross multiplied to get 240 = 240. Why is this?
Help fast!! Answers are...
1. because the cross sums of the proportion are equal
2. because the cross differences of the proportion are equal
3. because the cross products of the proportion are equal
4. because the cross quotients of the proportion are equal

Answer 1

Given: Sonny substituted 5 for x in the proportion StartFraction 16 over x EndFraction = StartFraction 48 over 15 EndFraction and cross multiplied to get 240 = 240.

To find: Why is this.

Solution:

According to the question, Sonny's equation can be written as follows.

$\frac{16}{x} = \frac{48}{15}$

Now, the variable x is replaced by the constant 5. So the equation can now be written as follows.

$\frac{16}{5} = \frac{48}{15}$

When two fractions are equal to one another as shown above, the constants are cross multiplied with one another in order to form an equation.

$16*15 = 48*5$

The values of both the products are the same which is 240.

Therefore, because the cross products of the proportion are equal.

Answer 2

Answer:

Step-by-step explanation:

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