Question

A store allows customers to fill their own bags of candy. Troy decides he only wants chocolate-covered pretzels and gumdrops. Chocolate-covered pretzels sell for $0.89 per pound, and gumdrops sell for $0.65 per pound. Troy's bag weighs 1.8 pounds and it cost $1.29. How many pounds of chocolate-covered pretzels and gumdrops did Troy buy?

Answer 1

Answer: He bought 0.5 pounds of chocolate-covered pretzels and 1.3 pounds of gumdrops.

Step-by-step explanation:

Let Troy bought x pounds of chocolate-covered pretzels and y pounds of gumdrops.

Since, the total pounds he bought = 1.8 pounds,

That is, x + y = 1.8  ------------(1)

Also, he total spent total 1.29 dollars in which Chocolate-covered pretzels sell for $0.89 per pound, and gumdrops sell for $0.65 per pound.

That is, 0.89 x + 0.65 y = 1.29  -----------(2),

0.89 x × Equation(1),

We get,

0.89 x + 0.89 y = 1.602  ------------(3)

Equation(2)-equation(3),

We get, 0.24 y = 0.312 ⇒ y = 1.3

By Substituting this value in equation (1),

x = 1.8 -1.3 ⇒ x = 0.5

Thus, he bought chocolate-covered pretzels, x = 0.5 pounds,

And, gumdrops, y = 1.3 pounds.