Question

cranberry juice cost $6.30 per quart and apple juice cost $3.60 per quart Terence wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice to make cranberry apple juice he also wants to sell the juice at a cost for $4.50 per court which equation below represents the situation

Answer 1

Note: "total" is from adding the first and last columns (middle column should be provided because it is a rate which cannot be added).

                       Amount        x        Cost             =         Amount x Cost

Cranberry:          q                        $6.30                          $6.30q

Apple:                4                        $3.60                       $3.60(4)  = $14.40

Total:                4 + q                     $4.50           =         $6.30q + $14.40

                                                   $4.50(4 + q)   =          $6.30q + $14.40

                                             $18.00 + $4.50q  =          $6.30q + $14.40

                                                              $3.60  =           $1.80q

                                                                    2    =           q

Since you didn't provide the equation options, hopefully you can use the solution to help you decide which option to choose.

Answer 2

Answer:

6.30 q + 14.4 = 4.50 ( q + 4 )

Step-by-step explanation:

Here, q quarts of cranberry juice is mixed with 4 quarts of apple juice,

So, the quantity of total juice = ( q + 4 ) quarts,

Also, the price of cranberry juice is $6.30 per quart and the price of apple juice is $ 3.60 per quart while the price of resultant mixture is $ 4.50 per quarts,

⇒ 6.30 × q + 3.60 × 4 = 4.50 × total quantity of resultant mixture

( ∵ Total cost = cost of per unit × number of units )

⇒ 6.30 q + 14.4 = 4.50 ( q + 4 )

Which is the required equation.