Gracie Mary and nancy each have a small collection of seashells Gracie has five more than one 1/4 times number shows Mary has Nancy has won more than one 1/2 times the number of shells Mary had Grazie
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Given: 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.
To find: Identify the equation that represents this situation and identify its solution.
Solution:
- Let x be mary's shells, so according to question, we get:
gracie = 1 1/4x + 5
nancy = 1 1/2x+ 1
- Now we have given that:
gracie = nancy
- So:
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.
- Now solving further, we get:
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16.
Answer:
So Mary has 16 shells.
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Answer:16
Step-by-step explanation:
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