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Sara sold 461 tickets for a school play. Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.How many adult tickets and how many student tickets did Sara sell?

Respuesta :

LilNasX

Answer:

220 student and 241 adults

Step-by-step explanation:

x+y=461

3x+4y=1624

y=-x+461-----> 3x+4(-x+461)=1624

                              -x+1844=1624

                             +x  -1624

                                   x=220

3(220)+4y=1624

660+4y=1624

4y=964

y=241

fudgeman

Answer:

220 student tickets

241 adult tickets

Step-by-step explanation:

if we set x equal to student tickets and y equal to adult tickets, we get two equations: x+y=461 (total tickets sold) and 3x+4y=1624 (total profits).

we want to isolate a variable, so that we can solve for it. we can do that to either x or y, I chose to isolate y.

so, we take our first equation, x+y=461, and we multiply it by -3, because that will give us -3x-3y=-1383. we then add our new equation to our sales equation: 3x+4y-3x-3y=1624-1383, which leaves us with y=241, the number of adult tickets sold. we then plug that into our original tickets equation: x+241=461, and we solve for x by subtracting 241 from 461, giving us 220, the number of students tickets sold.

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