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son4ous [18]
3 years ago
6

Write a system of equations for the following situation:

Mathematics
2 answers:
Assoli18 [71]3 years ago
7 0
<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\bf \leadsto Option \ second \ is \ correct .}}}

<h3 /><h3><u>Step-by-step explanation:</u></h3>

Given that , a group of 10 people went to see a movie. The cost to go to the movie is $8 for an adult and $5 for a child. The total cost for thegroup was $59.

<u>Let</u><u> </u><u>:</u><u>-</u>

\implies \bf No. \ of \ adult \ be \ denoted \ by \ a.  \\\\\bf \implies No . \ of \ Children \ be \ denoted \ by \ c .

Since the total number of people in group is 10 . Then ,

\implies \bf n_{adult} + n_{children} = 10 \\\\\bf\implies \boxed{\bf a + c = 10 }

Now , the cost for an adult is $8 and for a child is $5. Hence ,

\bf\implies n_{adult}\times cost_{adult} + n_{child}\times cost_{child} = Total \ cost \\\\\bf \implies a \times \$ 8 + c \times \$ 5 = \$ 59 \\\\\bf\implies \boxed{\bf 8a + 5c =\$ 59 }

Hence our overall answer matches with second option .That is ,

\red{\bf Option \ 2 } \begin{cases} \bf a + c = 10 \\\\\bf 8a + 5c = 59 \end{cases}

<h3><u>Hence</u><u> </u><u>second</u><u> </u><u>option</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u> </u><u>.</u></h3><h3 />
wariber [46]3 years ago
5 0

Answer: B) a + c = 10

8a + 5c = 59

Step-by-step explanation:

We know that 10 total people went, so the first equation has to be equal to 10. The total was $59, so the second equation should be set equal to $59. Now that the second equation is for cost, we must make it 8a + 5c to represent the cost of the adult and child tickets which are $8 and $5, respectively.

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