Mike buys three cans of pop per week. This is one more than two fifths the number of cans of juice Mike buys per week. Determine the number of cans of juice Mike buys per week.

5

Step-by-step explanation:

Mike buys 3 cans of pop per week and this is one more than 2/5 of the number of cans of juice that he buys.

Let the number of cans of juice be j and let the number of cans of pop be buys be p.

This means that:

p = 1 + 2j/5

Make j subject of formula:

p - 1 = 2j/5

=> 2j = 5p - 5

j = ½ (5p - 5)

p = 3 (from the question)

Therefore:

j = ½ (5 * 3 - 5) = ½ (15 - 5)

j = ½ * 10 = 5

Mike buys 5 cans of juice per week.