SOLUTION: A juice seller sells juice in small, medium and large glasses. The cost of a small glass is Rs7, the cost of a medium glass is Rs10 and the cost of the glass glass is Rs12. The

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Question 1121805: A juice seller sells juice in small, medium and large glasses.
The cost of a small glass is Rs7, the cost of a medium glass is Rs10 and the cost of the glass glass is Rs12.
The number of small glasses of juice sold was x.
The number of medium glasses sold was twice the number of small glasses of juice sold.
The number of large glasses of juice sold was 20 more than the number of medium glasses of juice sold.
Given that Rs2790 was received from the sale of the juice, find the total number of glasses of juice sold.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the cost of a small glass is 7 rs.
the cost of a medium glass is 10 rs.
the cost of a large glass is 12 rs.
the number of small glasses is x.
the number of medium glasses sold was twice the number of small glasses of juice sold.
that gets you 2x for the number of medium glasses sold.
the number of large glasses sold was 20 more than the number of medium glass sold.
that gets you 2x + 20 for the number of large glasses sold.
revenue from selllng the glasses was a total of 2790 rs.

your equation for the total cost would be:

7 * x + 10 * 2x + 12 * (2x + 20) = 2790.

7 * x is the total revenue from selling the small glasses.
10 * 2x is the total revenue from selling the medium glasses.
2x + 20 is the total revenue from selling the large glasses.

simplify this eqution to get:

7x + 20x + 24x + 240 = 2790

combine like terms to get:

51x + 240 = 2790

subtract 240 from both sides of this equation to get:

51x = 2790 - 240 = 2550

divide both sides of this equation by 51 to get:

x = 2550 / 51 = 50.

the number 0f small glasses sold was equal to x which is equal to 50.
the number of medium glasses sold was equal to 2x which is equal to 100.
the number of large glasses sold was equal to 2x + 20 which is equal to 120.

50 * 7 rs each = 350 rs.
100 * 10 rs each = 1000 rs.
120 * 12 rs each = 1440 rs.

total rs = 350 + 1000 + 1440 = 2790.

this confirms the solution is correct.

solution is:

the total number of glasses sold is 50 + 100 + 120 = 270.