Question

At a candy store, Arianna bought 4 pounds of jelly beans and 3 pounds of gummy worms for $39. Meanwhile, Sue bought 6 pounds of jelly beans and 6 pounds of gummy worms for $66. How much does the candy cost? A pound of jelly beans costs $________, and a pound of gummy worms costs $__________.

Answer 1

A pound of jelly beans costs $6, and a pound of gummy worms costs $5.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's say a pound of jelly beans costs $x, and a pound of gummy worms costs $y. From the given information, we can set up the following equations:

1. 4x + 3y = 39
2. 6x + 6y = 66

To solve this system, we can use the method of substitution. Let's solve the first equation for x:

1. 4x + 3y = 39
2. 4x = 39 - 3y
3. x = (39 - 3y) / 4

Now let's substitute this value of x into the second equation:

1. 6((39 - 3y) / 4) + 6y = 66
2. 234 - 18y + 24y = 264
3. 6y = 30
4. y = 5

Now we can substitute this value of y into the first equation to find x:

1. 4x + 3(5) = 39
2. 4x + 15 = 39
3. 4x = 24
4. x = 6

So, a pound of jelly beans costs $6, and a pound of gummy worms costs $5.