# maths

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A group of friends are planning a road trip. If they all contributed \$24, then they would be \$6 short of the total. If they all contributed \$25, then they would have \$3 more than needed. What is the total cost of the trip?

• maths - ,

C = Cost

n = nubers of friends

If they all contributed \$24, then they would be \$6 short of the total:

n * 24 = C - 6 Add 6 to both sides

24 n + 6 = C - 6 + 6

24 n + 6 = C

C = 24 n + 6

If they all contributed \$25, then they would have \$3 more than needed.

n * 25 = C + 3

25 n = C + 3 Subtract 3 to both sides

25 n - 3 = C + 3 - 3

25 n - 3 = C

C = 25 n - 3

C = C

24 n + 6 = 25 n + 3 Subtract 24 n to both sides

24 n + 6 - 24 n = 25 n - 3 - 24 n

6 = n - 3 Add 3 to both sides

6 + 3 = n - 3 + 3

9 = n

n = 9

Group have 9 friends

C = 24 n + 6

C = 24 * 9 + 6

C = 216 + 6

C = 222 \$

OR

C = 25 n - 3

C = 25 * 9 - 3

C = 225 - 3

C = 222 \$

The total cost of the trip is 222 \$

• maths - ,

Cool I got the right answer not using cheat . im ready to the next level