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anna is on a road trip. she uses 3/4 of a tank of gas every 9/2 hours. How many tanks of gas will anna use after 12 hours?

2 Answers

6 votes

Final answer:

Anna will use 2 tanks of gas after 12 hours.

Step-by-step explanation:

To find out how many tanks of gas Anna will use after 12 hours, we need to determine how many tanks of gas she uses per hour and then multiply that by 12.

Anna uses 3/4 of a tank of gas every 9/2 hours. To find out how many tanks of gas she uses per hour, we divide 3/4 by 9/2. This can be simplified as: 3/4 ÷ 9/2 = 3/4 × 2/9 = 6/36 = 1/6.

So, Anna uses 1/6 of a tank of gas per hour. Multiplying this by 12, we get: 1/6 × 12 = 2 tanks of gas.

User Martin Baulig
by
4.8k points
12 votes

Answer:

Step-by-step explanation:

This is a proportional question. If you learn how to keep things together, they are not only easy to do, they are mechanical: they are all done exactly the same way.

tanks of gas different tanks of gas

========== = ================

hours different hours.

initial tank of gas = 3/4 tank

initial hours = 9/2 = 4.5 hours

final tanks of gas = X

final time = 12 hours.

Solution

3/4 x

==== = ==============

4.5 12

Cross multiply

4.5x = 12*3/4 Combine the right

4.5x = 36/4 Simplify

4.5x = 9 Divide both sides by 4.5

x = 9/4.5

x = 2

So she will need 2 tankfuls.

User Mkebri
by
5.9k points