Question

At a candy store, Brooke bought 1

Answer 1

Answer:

One pound of jelly  beans and one pound of gummy  worms candy cost $6 each

Step-by-step explanation:

Given

Let

$J \to$ Jelly Beans

$G \to$ Gummy worms

So, we have:

Brook

$J + 6G = 42$

Ken

$5J + 4G = 54$

Make J the subject in the first equation

$J + 6G = 42$

$J = 42 - 6G$

Substitute $J = 42 - 6G$ in $5J + 4G = 54$

$5*[42 - 6G] + 4G = 54$

Open bracket

$210 - 30G + 4G = 54$

$210 -26G = 54$

Collect like terms

$-26G = 54 - 210$

$-26G = -156$

Divide both sides by -26

$G = 6$

Substitute $G = 6$ in $J = 42 - 6G$

$J = 42 - 6*6$

$J = 42-36$

$J = 6$