Three adults and four children must pay $122 for tickets. two adults and three children must pay $87. what are the price of each ticket.

Let be the price of an adult ticket, and the price of a child ticket.

The sentence "Three adults and four children must pay $122 for tickets" translates to

The sentence "Two adults and three children must pay $87" translates to

Which leads to the linear system

You can solve this system as you prefer, for example you can multiply the first equation by 2 and the second by 3 to get

Now subtract the first from the second:

Now plug this value for c in any of the equations, for example the first:

it is probably the graph on the bottom right.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.