Word problems with fractions

I am going on a trip to Oregon. The entire trip for a week will cost about $2400, which includes money for gas, camp sights, food and the cost for the places we visit, plus some extra in case of emergency.  The amount is 1/12 for the camp sights, 1/12 for the places that we visit, 1/3 for gas, 1/24 for extra souvenirs and things, 5/24 for food.

a) How much money do we have over after the trip?

b) How much money do I spend on each part of the trip?

c) If I have to use an extra $400 because of vehicle problems, how much money will I have left?

An  expression for this problem would be – 2400 x (1/12 + 1/12 + 1/3 + 1/24 + 5/24)

The Answer:

a) A common denominator is 24.

1/12 x 2/2 = 2/24            1/3 x 8/8 = 8/24

2/24 + 2/24 + 5/24 + 8/24 + 1/24  (2 +2 +5 +8 + 1) = 18/24

18/24 x 100/100 = 1800/2400

$1800 (18/24) Is the money spent in total.          $2400 – $1800 = $600.

$600 was the amount of extra money.

b) 2/24 x 100/100 = 200/2400        $200

2/24 x 100/100 = 200/2400            $200

5/24 x 100/100 = 500/2400             $500

8/24 x 100/100 = 800/2400             $800

1/24 x 100/100 = 100/2400              $100

$200 for the campsights, $200 for the places we visit, $800 for gas, $100 for souvenirs, $500 for food, and $600 for extra.

c)  $600 – $400 = $200

I will have $200 left if i were to have car troubles and pay $400

 

 

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