The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.50. If the total cost of the trip is $248.50, what is the price of each train ticket?

Respuesta :

Let's assume

the price of each train ticket is x

we are given

total number of family members =5

so, total cost of ticket = total number of family members*the price of each ticket

so, total cost of ticket =5*x

so, total cost of ticket =5x

now, we have

each family member buys a boxed lunch for $6.50

so, total cost of lunch box = total number of family members*price of each lunch box

so, total cost of lunch box = 5*6.50

total cost of trip = total cost of ticket+total cost of lunch box

we are given

total cost of trip is $248.50

now, we can plug values

and we get

[tex] 248.50=5x+5*6.50 [/tex]

now, we can solve for x

[tex] 248.50=5x+32.5 [/tex]

[tex] 248.50-32.5=5x+32.5-32.5 [/tex]

[tex] 216=5x [/tex]

[tex] \frac{5x}{5} =\frac{216}{5} [/tex]

[tex] x=43.2 [/tex]

so,

the price of each train ticket is $43.2..........Answer

The price of each train ticket can be calculated by generating the algebraic expression as per the question.

The price of each train ticket is $43.2.

Given:

The family member is 5.

The lunch box cost is $6.50.

The total cost of the trip is $248.50.

Let price of each train ticket is [tex]x[/tex].

The total cost of ticket is multiplication of  total number of family members and the price of each ticket.The mathematical expression is,

[tex]\rm{ Total\: cost \:of \:ticket} =5x\\[/tex]

Write the expression for total cost of trip.

[tex]248.50=5x+5\times 6.50\\248.50=5x+32.5\\216=5x\\x=43.2[/tex]

Thus, the price of each train ticket is $43.2.

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