All categories

3 years ago

The question attached please.

Mathematics

1 answer:

Luda [366]3 years ago

6 0

One adult ticket costs £11 and one child ticket costs £8.5

Step-by-step explanation:

Let,

Adult ticket = a

Child ticket = c

According to given statement;

3a+4c=67 Eqn 1

5a+6c=106 Eqn 2

Multiplying Eqn 1 by 5;

$5(3a+4c=67)\\15a+20c=335\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 3;

$3(5a+6c=106)\\15a+18c=318\ \ \ Eqn\ 4$

Subtracting Eqn 4 from Eqn 3

$(15a+20c)-(15a+18c)=335-318\\15a+20c-15a-18c=17\\2c=17\\$

Dividing both sides by 2

$\frac{2c}{2}=\frac{17}{2}\\c=8.5$

Putting c=8.5 in Eqn 1

$3a+4(8.5)=67\\3a+34=67\\3a=67-34\\3a=33$

Dividing both sides by 3;

$\frac{3a}{3}=\frac{33}{3}\\a=11$

One adult ticket costs £11 and one child ticket costs £8.5

Keywords: Linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

You might be interested in

Un cono ha l'area laterale di 255 pigreco cm^2, l'apotema di 17 cm e pesa 900 pigreco g. Calcola il peso specifico del materiale

valkas [14]

Answer:

The specific weight is $1.5\frac{g}{cm^{3}}$

Step-by-step explanation:

The question in English

A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed

step 1

Find the radius of the cone

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

we have

$LA=255\pi\ cm^{2}$

$l=17\ cm$

substitute the values

$255\pi=\pi r(17)$

Simplify

$255=r(17)$

$r=255/(17)=15\ cm$

step 2

Find the height of the cone

Applying the Pythagoras Theorem

$l^{2} =r^{2} +h^{2}$

substitute the values and solve for h

$17^{2} =15^{2} +h^{2}$

$h^{2}=17^{2}-15^{2}$

$h^{2}=64$

$h=8\ cm$

step 3

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

substitute the values

$V=\frac{1}{3}\pi (15)^{2}(8)$

$V=600\pi\ cm^{3}$

step 4

Find the specific weight

Divide the mass by the volume

$\frac{900\pi }{600\pi}=1.5\frac{g}{cm^{3}}$

4 0

3 years ago

In the figure, m<2 = 83, and m<21 = 68. Find the measure of each angle

zhuklara [117]

Answer:

m<1 = 97

m<2 = 83

m<3 = 112

m<4 = 68

m<5 = 112

m<6 = 68

m<7 = 97

m<8 = 83

m<9 = 97

m<10 = 83

m<11 = 112

m<12 = 68

m<13 = 112

m<14 = 68

m<15 = 97

m<16 = 83

Step-by-step explanation:

8 0

3 years ago

The gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyballs cost $7 each. Ho

pav-90 [236]

Answer:

The maximum number of volleyballs that she can buy is 19

Step-by-step explanation:

Let

x ----> the number of volleyballs

we know that

The cost of each volleyball net ($28) by the number of volleyball nets (4) plus the cost of each volleyball ($7) multiplied by the number of volleyballs (x) must be less than or equal to $250

The inequality that represent this situation is

$28(4)+7x\leq 250$