Three adults and four children must pay $85. Two adults and three children must pay $60. Find the price of the adults ticket and

Question

3 years ago

5

the price of a child’s ticket

1 answer:

kherson [118] · Answer 1 · 2022-02-06T10:34:30+03:00

the price of Adults Ticket = $15

and the price of Child's Ticket = $10

Step-by-step explanation:

Let adults be x and children be y

then Three adults and four children must pay $85 can be written as:

$3x+4y= 85\,\,\,\,\,(1)$

and Two adults and three children must pay $60 can be written as:

$2x+3y=60\,\,\,\,(2)$

Solving equations 1 and 2 to find the value of x and y.

Multiplying eq(1) by 2 and eq(2) by 3

$6x+8y =170\\6x+9y=180\\-\,\,\,-\,\,\,\,\,\,\,\,\,-\\-------\\-y=-10\\y=10$

Putting value of y=10 in eq(1)

$3x+4(10)=85\\3x+40=85\\3x=85-40\\3x=45\\x=15$

So, the price of Adults Ticket = $15

and the price of Child's Ticket = $10

Keywords: Word Problems of algebraic expressions

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