The friends collected a total of 43 shells on the beach. Paula collected x shells. Bethany collected 3 less than twice as many shells as Paula. Jerrell collected 2 more than half as many shells as Paula. How many shells did Paula collect?
A. 8 shells
B. 12 Shells
C. 21 shells
D. 29 Shells

Respuesta :

Answer:

12

Step-by-step explanation:

The number of shells collected by Paula is 12 shells

The correct answer is B.

The given expression:

total number of shells collected by the friends, t = 43 shells

number of shells collected by Paula = x

number of shell collected by Bethany = 2x - 3

number of shell collected by Jerrell = [tex]\frac{x}{2} + 2[/tex]

To find:

  • the number of shells collected by Paula

The number of shells collected by Paula is calculated as follows:

[tex]x + (2x-3 ) + (\frac{x}{2} + 2) = 43\\\\3x + \frac{x}{2} - 1 = 43\\\\\frac{6x + x}{2} = 43 + 1\\\\\frac{7x}{2} = 44\\\\7x = 88\\\\x = \frac{88}{7} \\\\x \approx 12 \ shells[/tex]

Thus, the number of shells collected by Paula is 12 shells

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