In 2016 Alphonse grew twice the number of grapes that Pierre did.

Question

In 2016 Alphonse grew twice the number of grapes that Pierre did. In 2017 Pierre grew twice the number of grapes that Alphonse did. Over the two years Alphonse grew 49000 grapes which was 7600 less than Pierre. How many grapes did Alphonse grow in 2016?

Answer 1

A₁₆ = 2P₁₆

2A₁₇ = P₁₇

A₁₆ + A₁₇ = 49000

49000 = P₁₆ + P₁₇ - 7600

 

Sufficient number of equations to solve the system