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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? because the cross sums of the proportion are equal because the cross differences of the proportion are equal because the cross products of the proportion are equal because the cross quotients of the proportion are equal

Sagot :

Sonny get 240=240 because  the cross products of the proportion are equal.

Proportion : Two ratios are said to be in proportion when the two ratios are equal.

For Example , If Smith walks 5 km in 1 hour then he will walk 25 km in 5 hours. denoted by

[tex]\frac{5}{1} =\frac{25}{5} \\ \\ 5=5[/tex].

According to the given question the equation can be written as

[tex]\frac{16}{x} =\frac{48}{15}[/tex]

Sonny substituted 5 for x in the proportion , the equation can be written as

[tex]\frac{16}{5} =\frac{48}{15} \\ \\ Doing .the .cross.product\\ \\ 16*15=48*5\\ \\ 240=240[/tex]

Therefore , Sonny get 240=240 because  the cross products of the proportion are equal.

Learn more about Proportion here https://brainly.com/question/7096655

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