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aliina [53]
3 years ago
13

Mr.Johnson purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under

12. How many tickets for children under 12 did Mr.Johnson purchase?
Mathematics
2 answers:
BabaBlast [244]3 years ago
6 0

Answer:

15

Step-by-step explanation:

Step-by-step explanation:

Let the number of adult tickets be x while children ticket be y. Since the total tickets were 20 then we can form the equation

x+y=20

Making x the subject then x=20-y

Considering the cost of each ticket

15x+10y=225

Substituting x with 20-y then

15(20-y)+10y=225

300-15y+10y=225

Collecting like terms

300-225=15y-10y

75=5y

Y=75/5=15

To find x, we already know that x=20-y hence x=20-15=5

Therefore, children tickets are 15 while adult tickets are 5.

Read more on Brainly.com - brainly.com/question/15595662#readmore

taurus [48]3 years ago
3 0

Answer:

15

Step-by-step explanation:

Let the number of adult tickets be x while children ticket be y. Since the total tickets were 20 then we can form the equation

x+y=20

Making x the subject then x=20-y

Considering the cost of each ticket

15x+10y=225

Substituting x with 20-y then

15(20-y)+10y=225

300-15y+10y=225

Collecting like terms

300-225=15y-10y

75=5y

Y=75/5=15

To find x, we already know that x=20-y hence x=20-15=5

Therefore, children tickets are 15 while adult tickets are 5.

The question only needs us to know the children tickets, y which is 15

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The gross pay per year is \fbox{\bf\$19697.6}.

Further explanation:

Given:

The net pay is 66% of the gross pay. The net pay per week is $250.

Calculation:

Consider the gross pay as x and net pay as y.

Since the net pay y is 66% of the gross pay x, it can be written as follows:

\begin{aligned}\frac{{x\times66}}{{100}}&=y\\x&=\frac{{y\times 100}}{{66}}\\x&=1.5151y\\\end{aligned}

The net pay per week is given as $250.

Substitute 250 for y in above equation.

\begin{aligned}x&=1.5151\left( {250}\right)\\&= 378.8\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{week}}\\\end{aligned}

Since, there exist 52 weeks in a year, the gross pay per year is calculated as follows:

\begin{aligned}x &= 378.8\left({52} \right)\\&= 19697.6\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{year}}\\\end{aligned}

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Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Interest

Keywords: Gross pay, net pay, rate, accounts, simple interest, compound interest, percent, dollar, tax, interest rate, net worth, annually, weekly, weeks, $250, total income, charity, compounded.

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The speed of a car after accelerating for 8 seconds is inversely proportional to its weight. The car weighs 1600 kg and accelera
STatiana [176]

Answer:

With 800 extra kg load: speed = 66.667 km/h

With 2400 extra kg load: speed = 40 km/h

Step-by-step explanation:

Let's call the weight of the car W = 1600 kg, and its speed after accelerating for 8 seconds with this weight S = 100 km/h

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