Ask Question
25 April, 13:59

Cedric and Zelda went shopping at Price buster buster Cedric Bought to jumbo rolls of aluminum foil and three packages of AA batteries for a total cost of $21 Zelda Bought 5 identical jumbo rolls of aluminum foil and two identical packages of AA batteries for a total cost of $25 find the cost of one roll of aluminum foil and find the cost of one package of AA batteries

+4
Answers (1)
  1. 25 April, 15:56
    0
    Let f and b be the cost of foil and batteries respectively. We are first given that:

    2f+3b=21 subtract 3b from both sides

    2f=21-3b divide both sides by 2

    f = (21-3b) / 2

    Then we are given:

    5f+2b=25, using f found above in this equation gives you:

    5 (21-3b) / 2+2b=25

    (5 (21-3b) + 4b) / 2=25 multiply both sides by 2

    5 (21-3b) + 4b=50 carry out indicated operations on left side

    105-15b+4b=50 combine like terms on left side

    105-11b=50 subtract 105 from both sides

    -11b=-55 divide both sides by - 11

    b=5, since f = (21-3b) / 2

    f = (21-3*5) / 2

    f=3

    So batteries cost $5 and foil cost $3.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Cedric and Zelda went shopping at Price buster buster Cedric Bought to jumbo rolls of aluminum foil and three packages of AA batteries for ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers