Answer:
n=16
Explanation:
6n=9246n=924 nn
Write the problem as a mathematical expression.
6n=9246n=924 nn
Cancel the common factor of 99 and 2424.
Factor 33 out of 99.
6n=3(3)246n=3(3)24
Cancel the common
Factor 33 out of 2424.
6n=3⋅33⋅86n=3⋅33⋅8
Cancel the common factor.
6n=3⋅33⋅86n=3⋅33⋅8
Rewrite the expression.
6n=386n=38
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
6⋅8=n⋅36⋅8=n⋅3
Solve the equation for nn.
Rewrite the equation as n⋅3=6⋅8n⋅3=6⋅8.
n⋅3=6⋅8n⋅3=6⋅8
Multiply 66 by 88.
n⋅3=48n⋅3=48
Divide each term by 33 and simplify.
Divide each term in n⋅3=48n⋅3=48 by 33.
n⋅33=483n⋅33=483
Cancel the common factor of 33.
Cancel the common factor.
n⋅33=48