The marching band sells cases of oranges and grapefruit for a fundraiser. Shakira sells 5 cases of oranges and 8 cases of grapefruit for $235. Jeff sells 3 cases of oranges and 2 cases of grapefruit for $85. How much would 1 case of each fruit cost altogether?

Cost of 1 case of oranges is $ 15 and cost of 1 case of grapefruits is $ 20

(Cost of 1 case of oranges and 1 case of grapefruits altogether equal to )

Step-by-step explanation:

Let cost of 1 case of oranges be and cost of 1 case of grapefruits be

As  cost of 5 cases of oranges and 8 cases of grapefruit is $235,

          ...(i)

As  cost of 3 cases of oranges and 2 cases of grapefruit is $85,

         ...(ii)

Multiply equation (ii) by

     ...(iii)

Add (i) and (iii)

Put in (i)

So,

Cost of 1 case of oranges is $ 15 and cost of 1 case of grapefruits is $ 20

Therefore,

Cost of 1 case of oranges and 1 case of grapefruits altogether equal to

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