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.

Answer 1

g = 1.25m + 5
n = 1.50n + 1
g = n

1.25m + 5 = 1.50m + 1 <== ur equation
5 - 1 = 1.50m - 1.25m
4 = 0.25m
4 / 0.25 = m
16 = m <== mary has 16 <==

g = 1.25m + 5....g = 1.25(16) + 5....g = 25 <==Gracie has 25 <==
n = 1.50m + 1...n = 1.50(16) + 1.....n = 25 <==Nancy has 25 <==