All categories

2 years ago

Li...

Mathematics

1 answer:

faltersainse [42]2 years ago

5 0

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Step-by-step explanation:

Let,

Price of one vegetarian special lunch = x

Price of one chicken special lunch = y

According to given statement;

21x+40y=467 Eqn 1

28x+36y=484 Eqn 2

Multiplying Eqn 1 by 28

$28(21x+40y=467)\\588x+1120y=13076\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 21

$21(28x+36y=484)\\588x+756y=10164\ \ \ Eqn\ 4$

Subtracting Eqn 4 from Eqn 3

$(588x+1120y)-(588x+756y)=13076-10164\\588x+1120y-588x-756y=2912\\364y=2912$

Dividing both sides by 364

$\frac{364y}{364}=\frac{2912}{364}\\y=8$

Putting y=8 in Eqn 1

$21x+40(8)=467\\21x+320=467\\21x=467-320\\21x=147$

Dividing both sides by 21

$\frac{21x}{21}=\frac{147}{21}\\x=7$

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

You might be interested in

Find the average of$ 1148.37,$1760.44,$1143.57,and 1336.17 then round to the nearest cent

schepotkina [342]

If you total them it equals $5388.55. and then divide by 4 and the average is 1347.1375 and the you round to nearest cent. $1347.14

3 0

3 years ago

A yardstick placed perpendicular to the ground casts a 4 foot shadow. At the same time, a grain silo casts a 34 foot shadow. Wri

kobusy [5.1K]

There is a 30 ft difference how can you not tell

4 0

2 years ago

McDonald's is the king of the burger world, as it has more hamburger joints than any other restaurant chain. In 2013, McDonald's

Harlamova29_29 [7]

The notation per capita simply means that the number is divided by the total population. Therefore the number of McDonald’s per capita in Canada 2013 is:

McDonald’s per capita = 1427 / 35,160,000

<span>McDonald’s per capita = 4.06 x 10^-5</span>

6 0

3 years ago

There was 2/3 of pan of lasagna in the refrigerator. Bill and his friends ate half of what was left. Write a number sentence and

Veseljchak [2.6K]

Half of 2/3 is:

$\frac { 1 }{ 2 } \times \frac { 2 }{ 3 } =\frac { 1 }{ 3 }$

This means that 1/3 was left. This also means that they ate 1/3 of the lasagne.

Model diagram can be seen in attachment.

5 0

2 years ago

How to factor this expression <br><br>x^3 - 4x^2 + 4x - 16

Natalija [7]

X²(x - 4) +4 (x - 4)

(x² + 4) (x - 4)

First find the common terms that can enter into both x³ and 4x² then write its down in this case it’s x² that can enter x³ leaving only x _since x³/x² = subtract of the indices. x² will also enter 4x² leaving only four hence you having x² (x - 4)
then do the same for the next pair of terms giving you 4 that can enter into both 4 and 16
Leaving you with +4 (x - 4)

Now you can put the common terms together like so (x² + 4) and choose get one of the other two which are the same= (x - 4)
= (x² + 4) (x - 4)

8 0

2 years ago