Smart enough to answer this question? Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than 1 1/4 times the number of shells Mary has. Nancy has 1 more than 1 1/2 times the number of shells Mary has. Gracie 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. (isnt fraction is one and one fourths, second fraction is 1 and one halfs)

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Mathematics

4 June, 03:19

Smart enough to answer this question? Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than 1 1/4 times the number of shells Mary has. Nancy has 1 more than 1 1/2 times the number of shells Mary has. Gracie 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. (isnt fraction is one and one fourths, second fraction is 1 and one halfs)

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Answers (2)

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Kenyon Zhang · 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

Lucian · Answer 2

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