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.

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.