SOLUTION: Cedric and Zelda Went Shopping at Price Buster. Cedric Bought 2 jumbo rolls of aluminum foil and 3 packages of AA batteries for a total cost of $21. Zelda Bought 5 Identical Packag

Question 289352: Cedric and Zelda Went Shopping at Price Buster. Cedric Bought 2 jumbo rolls of aluminum foil and 3 packages of AA batteries for a total cost of $21. Zelda Bought 5 Identical Packages of AA Batteries for a total cost of $25. Find the cost of 1 roll of aluminum foil and find the cost of 1 packages of AA batteries
Answer by j1mmy94(14) (Show Source): You can put this solution on YOUR website!
We have to first evaluate the sentences one at a time. Using variables to represent jumbo rolls of aluminum foil and packages of AA batteries.
Let:
x equal to the number of jumbo rolls of aluminum foil
y equal to the number of packages of AA batteries
Then we can write our equations using the variables.
Cedric Bought 2 jumbo rolls of aluminum foil and 3 packages of AA batteries for a total cost of $21.
2x + 3y = $21
We can't solve this equation yet, because we have two variables. If we solve for one variable, we can solve for the other variable. Therefore, we must use the other sentences to help us find one of the variables.
Zelda Bought 5 Identical Packages of AA Batteries for a total cost of $25.
5y = $25
If we divide 5 on both sides, then we get =
Then, we get y is $5 or a package of AA batteries is 5 dollars.
Next, we plug in $5 for y in the first equation (scroll up).
2x + 3y = $21
2x + 3($5) = $21
2x + $15 = $21
2x = $6
x = $3
Answer: A jumbo roll of aluminum foil is 3 dollars and a package of AA batteries is 5 dollars.
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