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.
