Question

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homework
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circle the number of the problem that is not a proportion problem. solve each proportion problem.

1. ( 3:5::21:r )

( r = )

1. ( b:7::16:56 )

( b = )

1. what is the basic ratio of ( 36:27 )

Explanation:

Step1: Resolver la proporción \(3:5::21:r\)

En una proporción \(a:b::c:d\), se cumple \(a\times d = b\times c\). Aquí, \(3\times r=5\times21\). Entonces, \(3r = 105\). Dividiendo ambos lados por 3: \(r=\frac{105}{3}=35\).

Step2: Resolver la proporción \(b:7::16:56\)

Usando la regla \(a\times d = b\times c\) (donde \(a = b\), \(b = 7\), \(c = 16\), \(d = 56\)), tenemos \(b\times56=7\times16\). Entonces, \(56b=112\). Dividiendo ambos lados por 56: \(b=\frac{112}{56}=2\).

Answer:

1. \(r = 35\)
2. \(b = 2\)