Question

The admission fee at an amusement park is $4.25 for children and $5.20 for adults. On a certain day, 285 people entered the park, and the admission fees collected totaled 1349 dollars. How many children and how many adults were admitted? number of children equals _________number of adults equals_____________

Answer 1

Let number of children be X and number of adults be Y

Total people entered = 285

X + Y = 285 ------------------------(1)

Total money collected = 1349

4.25 X + 5.20 Y = 1349 ----------------(2)

Multiply (1)by 5.20

5.20 X + 5.20 Y = 1482 ----------------(3)

Solve (2) and (3) by subtracting

5.20 X + 5.20 Y = 1482

- (4.25 X + 5.20 Y = 1349)

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0.95 X = 133

X = 140

Put this value of X in equation (1) and solve for Y

140 + Y = 285

Y = 145

Number of children = 140 ,

Number of adults = 145