The number a exceeds the number b by 50 percent. By what percent is the number b smaller than the number a?
1 answer:
Answer:
33 1/3 percent smaller
Step-by-step explanation:
The number a exceeds the number b by 50 percent.
a = b + b*.5
a = b(1.5)
Divide by 1.5
a/1.5 = b
2/3a =b
We want to find (a-b)/a to find the percent decrease
(a-2/3a)/a *100percent
(1/3a)/a* 100 percent
1/3 * 100 percent
33 1/3 percent smaller
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