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# help

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Carly, who is 5 inches taller than her brother Bailey, casts a shadow that is a foot longer than his. If Carly is 50 inches tall, what is the length in inches of Bailey's shadow?

Jun 20, 2020

#1
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Carly, who is 5 inches taller than her brother Bailey, casts a shadow that is a foot longer than his. If Carly is 50 inches tall, what is the length in inches of Bailey's shadow?

Hello Guest!

$$50:(S_B+1)=(50-5):S_B\\ 50S_B=(S_B+1)\cdot (50-5)\\ 50S_B=45S_B+45\\ 5S_B=45$$

$$S_B=9$$

The length of Bailey's shadow is 9 inches.

!

Jun 20, 2020
edited by asinus  Jun 20, 2020