Question

In one day a museum collected $1590 from 321 people. The price of admission is $6 for an adult and $4 for a child. How many adults and how many children were admitted to the museum?
I NEED IN STEP BY STEP SO I CAN UNDERSTAND!!!!

Answer 1

Answer:

153 adults and 168 children

Step-by-step explanation:

x - number of adults

y - number of children

$\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.$

$\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.$

$\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.$

$\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.$

$\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.$

$\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.$

$\left \{ {{-2y=-336} \atop {x=321-y}} \right.$

$\left \{ {{y=168} \atop {x=321-y}} \right.$

$\left \{ {{y=168} \atop {x=321-168}} \right.$

$\left \{ {{y=168} \atop {x=153}} \right.$

Is it all clear?