Sugar costs $1.62 per pound, and lemons cost $0.64 each. You sell lemonade for $1.75 per glass. Write S for the pounds of sugar used, L for the number of lemons used, G for the number of glasses
Of lemonade you sell, and P for the profit, in dollars, you make. Express using a formula your profit in
Terms of pounds of sugar used, number of lemons used, and number of glasses of lemonade sold.
A) $P = 1.75 G - 1.62 S - 0.64 L$
B) $P = 1.75 G + 1.62 S + 0.64 L$
C) $P = 1.62 S + 0.64 L - 1.75 G$
D) $P + 1.62 G + 1.75 S - 0.64 L$

Question

Sugar costs $1.62 per pound, and lemons cost $0.64 each. You sell lemonade for $1.75 per glass. Write S for the pounds of sugar used, L for the number of lemons used, G for the number of glasses
Of lemonade you sell, and P for the profit, in dollars, you make. Express using a formula your profit in
Terms of pounds of sugar used, number of lemons used, and number of glasses of lemonade sold. 
A) $P = 1.75 G - 1.62 S - 0.64 L$
B) $P = 1.75 G + 1.62 S + 0.64 L$
C) $P = 1.62 S + 0.64 L - 1.75 G$
D) $P + 1.62 G + 1.75 S - 0.64 L$

Quizplus · Accepted Answer

The profit made, P, is equal to the revenue earned, which is the price per glass of lemonade sold, 1.75 times the number of glasses sold, G, minus the cost incurred in making each glass of lemonade. The cost of making each glass of lemonade includes the cost of sugar, which is $1.62 per pound and the cost of lemons which are $0.64 each. To find the total cost of making a glass of lemonade, we need to multiply the cost of sugar per pound by the amount of sugar used, S, and add the cost of the lemons used, L, which is given by the formula:

Total cost = 1.62S + 0.64L

Therefore, the profit made, P, is given by:

P = 1.75G - (1.62S + 0.64L)

Thus, the answer is A.

Sugar Costs $1 P=1.75G−1.62S−0.64LP = 1.75 G - 1.62 S - 0.64 LP=1.75G−1.62S−0.64L

Sugar Costs $1 $P = 1.75 G - 1.62 S - 0.64 L$