## Alexis found 2 times as many shells as Tina. Tina found 5 more shells than Phillip. Together Alexis and Phillip found 16 shells. How many di

Question

Alexis found 2 times as many shells as Tina. Tina found 5 more shells than Phillip. Together Alexis and Phillip found 16 shells. How many did each person find?

0

• Phillip: 2 shells
• Tina: 7 shells
• Alexis: 14 shells

Step-by-step explanation:

The problem statement gives rise to three equations in three unknowns. Let a, t, p represent the numbers of shells found by Alexis, Tina, and Phillip, respectively. Then the equations are …

… a = 2t . . . . . . . Alexis found 2 times as many as Tina

… t = 5 +p . . . . . Tina found 5 more than Phillip

… a + p = 16 . . . . Alexis and Phillip together found 16 shells

These equations can be solved a variety of ways. For example, we can use substitution to get two equations in t and p.

… t – p = 5 . . . . . rearrange the second equation

… 2t +p = 16 . . . substitute for a in the third equation