Question

A fruit stand sells two varieties of strawberries:

standard and deluxe. A box of standard strawberries sells for

\(7, and a box of deluxe strawberries sells for \)10. In one day

the stand sold 135 boxes of strawberries for a total of $1110.

How many boxes of each type were sold?

Short answer

For the given fruit stand problem, we have 80 standard boxes of strawberries and 55 deluxe boxes of strawberries.

Step-by-step solution

Step 1. Given information.

x = no. of standard boxes of strawberries that were sold.

y = no. of deluxe boxes of strawberries that were sold.

Step 2. Write down the concept.

The price of each type of box and the total price foe which the strawberries were sold, Also, the total number of boxes that were sold is given from this, we can formulate the equation as,

7x + 10y = 1110 …….(1)

x + y = 135 ……..(2)

Step 3. Determining the values

From (2) we can write,

x = 135 – y

substituting in (1) we get,

7(135 – y) + 10y = 1110

945 – 7y + 10y = 1110

945 + 3y = 1110

3y = 165

Which gives,

y = 55

substituting in (2), we get,

x = 135 – 55

x = 80