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Exit Ticket 4.8 Students in a sixth-grade class are raising money for an end-of-year camping trip. So far, they have raised $240. This is 2/5 of the cost of the trip. How much does the trip cost? Write multiplication and division equations and draw a diagram to represent the situation. Then answer the question and show your reasoning.

Answer :

We are told that 240 is 2/5 of the total cost of the trip. We can picture this situation as follows

THe whole bar represents the total cost of the trip. If we split it in 5, the two coloured tiles represent 2/5 of the total cost. We are told that these two tiles represent 240. Let x be the total cost of the trip. One tile of the picture would be

[tex]\frac{x}{5}[/tex]

We have two tiles, so that would be

[tex]\frac{x}{5}+\frac{x}{5}=\frac{2}{5}x[/tex]

NOw, we know that two tiles represent 240. So we have the following equation

[tex]\frac{2}{5}x=240[/tex]

Now, we simply need to find the value of x. To do so, we first multiply by 5 on both sides. Then we get

[tex]2x=240\cdot5=1200[/tex]

Now, we divided both sides by 2. So we get

[tex]x=\frac{1200}{2}=600[/tex]

Then, the total cost of the trip is 600.

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