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Ratling [72]
3 years ago
12

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 adul

ts and how many children were admitted to the museum?
I NEED IN STEP BY STEP SO I CAN UNDERSTAND!!!!
Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

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?

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