Question

A pastry shop sold three kinds of pastries.

The prices of these were 50 cents, 70 cents, and 90 cents per pound. The income from these sales was $252. If the number of pounds of each kind of cake sold was the same, how many pounds were sold?
(A) 60 pounds
(B) 120 pounds
(C) 45 pounds
(D) 90 pounds
(E) 36 pounds

Answer 1

Let the number of pounds sold for each type of pastry be $x$. Then the income from each type of pastry can be expressed as $0.50x$, $0.70x$, and $0.90x$, respectively.

The total income from the sales is given as $252$, so we can set up an equation:

$$0.50x + 0.70x + 0.90x = 252$$

Simplifying this equation, we get:

$$2.10x = 252$$

Dividing both sides by $2.10$, we get:

$$x = 120$$

Therefore, each type of pastry sold $120$ pounds, and the total number of pounds sold is $3 \times 120 = 360$ pounds.

So the answer is (E) 36 pounds