Question

A store allows customers to fill their own bags of candy. Terri decides she only wants jelly beans and chocolate drops. Jelly beans sell for $0.98 per pound, and chocolate drops sell for $0.67 per pound. Terri’s bag weighs 2.1 pounds and it costs $1.56.

How many pounds of jelly beans and chocolate drops did Terri buy?
(Points : 1)
1.6 pounds of jelly beans; 0.5 pounds of chocolate drops
1.1 pounds of jelly beans; 1 pound of chocolate drops
1 pound of jelly beans; 1.1 pounds of chocolate drops
0.5 pounds of jelly beans; 1.6 pounds of chocolate drops

Answer 1

@Algorithmic

Answer 2

This is mostly an application of what we did in the past question, do you want to give it a try and post your work if you are work I can correct you and help guide you to the answer.

Answer 3

okay

Answer 4

i think A

Answer 5

Okay, just a moment to check your answer.

Answer 6

okay

Answer 7

Answer choice \(A\) is incorrect. I will explain my reasoning is below, just a second.

Answer 8

okay

Answer 9

My reasoning on why answer choice \(D\) is the correct answer:
Jelly beans = \(0.98p\)
Chocolate = \(0.68(2.1-0.98p)=1.56\)
After distributing and combining like terms:
\(1.428 - (-0.3p) = 1.56\)
\( = 1.428 + 0.3p = 1.56\)
Now to solve for \(p\):
\(1.428 + 0.3p = 1.56\)
\(= 0.3p = 1.56 - 1.428\)
\(= 0.3p = 0.132\)
\(p = 0.44\)

Plug in \(p\) to the original equation:
Chocolate = \(2.1-0.98(0.44) = 1.6688\)

Hence answer choice \(D\) is the answer.

Peace.

Answer 10

Thank you so much I only have two more after