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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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<h3>What is arithmetic?</h3>

Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction. One of the branches of mathematics, 1a, deals with the application of addition, subtraction, multiplication, and division to nonnegative real numbers, sometimes including transfinite cardinals.

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