Question

Mangojuicecosts$8.50perquartandbananajuicecosts$6.20perquart.Tyler wants to make a mixture of mange and banana juice that sells for $5.50 per quart. How many quarts "q" of mango juice should he mix with 4 quarts of banana juice to make mango-banana juice at that price? Which equation below represents the situation?

Answer 1

There is no possible combination that will result in mango-banana juice that costs $5.50 per quart if its two ingredients cost $8.50 and $6.20 per quart.

Explanation:

the equation you need to solve is:

let M = quantity of mango juice

$8.50M + (4 x $6.20) = (4 x $5.50) + $5.50M

$8.50M + $24.80 = $22 + $5.50M

$24.80 - $22 = $5.50M - $8.50M

$2.80 = -$3M

M = $2.80 / -$3 = -0.933 ⇒ the quantity of mango juice cannot be negative