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Y_Kistochka [10]
3 years ago
12

The talent show committee pre-sold 101 tickets for the show. The total amount of money collected was $186.50.The stage manager i

s trying to figure out how many adults and how many students will be attending. Adult tickets cost $2.50 and student tickets cost $1.50. Create two equation that will help you solve this problem.
Mathematics
1 answer:
Furkat [3]3 years ago
7 0
Let
x---------> <span>number of adults
y--------> </span>number of <span>students

we know that
x+y=101-------> x=101-y-------> equation 1
2.50x+1.50y=186.50-------> equation 2

substitute equation 1 in equation 2
2.50*[101-y]+1.50y=186.50-----> 252.5-2.50y+1.50y=186.50
y=252.5-186.50------> y=66
x=101-y------> x=101-66-------> x=35

therefore
</span>number of adults is 35
number of students is 66<span>


</span>
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