Agroup of 28 people go to an amusement park. the admission fee for adults is $12. the admission fee for children is $10. the group spent $296 to get into the park. how many adults and how many children were in the group

Step 1: We need to assign variable for the unknown that we need to find.

Let x be the number of adults in the group who went to an amusement park

and y be the number of children in the group who went to an amusement park.

Step 2: Based on the given statement we need to write mathematical equation.

Statement 1: " group of 28 people go to an amusement park."

Based on the above statement we can write the first equation

x + y = 28 ⇒ 1st Equation

Statement 2: "The admission fee for adults is $12. The admission fee for children is $10. The group spent $296 to get into the park. "

1 adult spent $12 as fee, so ' x ' adults will spend 12x dollars as fee

1 child spent $10 as fee, so ' y ' children will spend 10y dollars as fee.

Totally the group spent $296 to get into the park, so that second equation can be written as

12x + 10y = 296 ⇒ 2nd Equation

Step 3: Solve the equation using substitution method.

Solve the 1st equation for y by subtracting x on both sides, we get y = 28 - x

Then substituting 28 - x for y in the 2nd equation, we get the below equation with one variable (x).

12x + 10(28 - x) = 296 {Distribute 10}

12x + 280 - 10x = 296 {combine like terms}

2x + 280 = 296 {Subtract 280 on both sides of the equation}

2x + 280 - 280 = 296 - 280 {Combine like terms in either side of the equation}

2x = 16 {Divide by 2 on both sides}

2x/2 = 16/2 {Simplify the fractions on both sides}

x = 8.

Substitute 8 for x in the equation x + y = 28 and find the value of y

8 + y = 28 {Subtraction 8 on both sides}

8 + y - 8 = 28 - 8 {Combining like terms}

y = 20

Conclusion:

There were 8 adults and 20 Children in the group who went to an amusement park.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )