three friends' marc, john and marry wanted to buy tickets for a concert, marc contributed twice the money john contributed and marry contributed $25, how did Marc contributed

Question

write an explicit equation to represent the situation. they bought three tickets for $241

Answer 1

Let "m" represent the amount of money that Marc contributed and let "j" represent the amount of money that John contributed.

Then m + j + 25 = 241

But m = 2j (because Marc contributed twice the amount that John contributed).

So we can replace "m" with "2j" in our first equation:

2j + j + 25 = 241 or

3j + 25 = 241

To solve, first subtract 25 from both sides, then divide both sides by 3:

3j + 25 = 241

3j = 241 - 25

3j = 216

j = 216/3

j = 72

Since

m = 2j then:

m = 2(72)

m = 144

Marc: $144

John: $72

Marry: $25

Answer 2

To represent this situation with an explicit equation, let's define variables for the amounts of money each person contributed:

1. Let jjj represent the amount of money John contributed.
2. Since Marc contributed twice the amount John contributed, Marc's contribution would be 2j2j2j.
3. Marry contributed $25, so her contribution is constant.

The total cost for the three tickets is $241, so we can write an equation that represents the sum of all their contributions:

j+2j+25=241j + 2j + 25 = 241j+2j+25=241

Solving for jjj:

1. Combine like terms:

3j+25=2413j + 25 = 2413j+25=241

1. Subtract 25 from both sides to isolate the terms with jjj:

3j=241−253j = 241 - 253j=241−25 3j=2163j = 2163j=216

1. Divide both sides by 3 to solve for jjj:

j=2163=72j = \frac{216}{3} = 72j=3216​=72

So, John contributed $72.

Marc's Contribution:

Since Marc contributed twice what John did, Marc's contribution is:

2j=2×72=1442j = 2 \times 72 = 1442j=2×72=144

Thus, Marc contributed $144.

Final Answer:

Marc contributed $144.