Home / Assignment Help / At the city museum, child admission is $6.40 and adult admission is $9.60. On Tuesday, 160 tickets were sold for a total sales of $1305.60. How many adult tickets were sold that day? numbers of adult tickets

At the city museum, child admission is $6.40 and adult admission is $9.60. On Tuesday, 160 tickets were sold for a total sales of $1305.60. How many adult tickets were sold that day? numbers of adult tickets

X = children

Y = adult

6.40x + 9.60y = 1305.60

x + y =160

x=160-y

6.40(160-y) + 9.60y = 1305.60

1024 + 6.40y +9.60y = 1305.60

1024 = 3.2y = 1305.60

3.2y = 281.6

Y = 281.6/3.2 = 88

 So 88
adult tickets were sold

 

Double check now

X = 160-y

X=160-88 = 72

6.40 x 72 = 460.80

9.60 x 88 = 844.80

844.80 + 460.80 = 1305.60 this checks

88 + 72 = 160 this checks

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