Gracie and mary and nancy each have a small collection of seashells gracie has 5 more than 1 and 1/4 times the number of shells mary has. nancy bas 1 more than 1 and 1/2 the number of shells mary has. if gracjr and nancy have the same number of shells if x is the number of shells mary has identify the equation that represents this situation and identify its solution

Question

Mathematics

Cael Archer

19 May, 04:12

Gracie and mary and nancy each have a small collection of seashells gracie has 5 more than 1 and 1/4 times the number of shells mary has. nancy bas 1 more than 1 and 1/2 the number of shells mary has. if gracjr and nancy have the same number of shells if x is the number of shells mary has identify the equation that represents this situation and identify its solution

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Answers (1)

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Guadalupe Mendoza · Answer 1

X = mary's shells

g = 1 1/4x + 5

n = 1 1/2x + 1

g = n

1 1/4x + 5 = 1 1/2x + 1

5/4x + 5 = 3/2x + 1 ... multiply by common denominator of 4, this will get rid of fractions ... however, this is optional ... u can work with fractions if u wish.

5x + 20 = 6x + 4

5x - 6x = 4 - 20

-x = - 16

x = 16 ... so Mary has 16 shells