Maths-

General

Easy

Question

# Two pizzas and four sandwiches cost $62.Four Pizzas and ten sandwiches cost $140.How much does each pizza and sandwich cost ?

Hint:

**HINT:** Frame proper equations and then solve.

## The correct answer is: cost of one sandwich = $8

### Complete step by step solution:

Let's denote the cost of one pizza =

And let the cost of one sandwich =

Let 2p + 4s = $62…(i)

and 4p+ 10s = $140….(ii)

On multiplying (i) with 2, we get 2( 2p + 4s = 62)

⇒4p + 8s = 124…(iii)

Now, we have the coefficients of p in (ii) and (iii) to be the same.

On subtracting (iii) from (ii),

we get LHS to be 4p + 10s-(4p + 8s) = 10s - 8s = 2s

and RHS to be 140 - 124 = 16

On equating LHS and RHS, we have 2s = 16

⇒ s = 8

On substituting the value of s in (i), we get 2p + 4 × 8 = 62

⇒ 2p + 32 = 62

⇒ 2p = 62 - 32

⇒ 2p = 30

⇒ p = 15

Hence we get and y = 8

Hence cost of one pizza = $15

and cost of one sandwich = $8

Note: We can also solve these system of equations by making the coefficients of

to be the same in both the equations.

Hence we get and y = 8

Hence cost of one pizza = $15

and cost of one sandwich = $8

Note: We can also solve these system of equations by making the coefficients of

to be the same in both the equations.

### Related Questions to study

Maths-

### The midpoint of 𝐶𝐷 is M (-4, 2). One endpoint is C (3, 5). Find the coordinates of endpoint D.

### The midpoint of 𝐶𝐷 is M (-4, 2). One endpoint is C (3, 5). Find the coordinates of endpoint D.

Maths-General

Maths-

### x and y are complementary angles and y and z are

supplementary angles. Find the value of z if m∠x = 43° .

### x and y are complementary angles and y and z are

supplementary angles. Find the value of z if m∠x = 43° .

Maths-General

Maths-

### The weight of the water exerts pressure on a diver. At a depth of 10 feet, the water pressure is 19.1 pounds per square inch and at a depth of 14 feet, the water pressure is 20.9 psi.

Complete the statements and sketch the qualitative graph of this function.

The input or X- Variable is ……………..

The output or Y- Variable is………….

### The weight of the water exerts pressure on a diver. At a depth of 10 feet, the water pressure is 19.1 pounds per square inch and at a depth of 14 feet, the water pressure is 20.9 psi.

Complete the statements and sketch the qualitative graph of this function.

The input or X- Variable is ……………..

The output or Y- Variable is………….

Maths-General

Maths-

### Solve the system of equations by elimination :

10X + 6Y = 38

10X + 20Y = 100

### Solve the system of equations by elimination :

10X + 6Y = 38

10X + 20Y = 100

Maths-General

Maths-

### Use Substitution to solve each system of equations :

2X - 3Y = 6

Y = X - 2

### Use Substitution to solve each system of equations :

2X - 3Y = 6

Y = X - 2

Maths-General

Maths-

### Use Substitution to solve each system of equations :

4X + 8Y = -8

X = -2Y + 1

### Use Substitution to solve each system of equations :

4X + 8Y = -8

X = -2Y + 1

Maths-General

Maths-

### Solve the system of equations by elimination :

5X + 3Y = 19

2X + 4Y = 20

### Solve the system of equations by elimination :

5X + 3Y = 19

2X + 4Y = 20

Maths-General

Maths-

### Solve the following by using the method of substitution

Y= 5-2X

Y=

### Solve the following by using the method of substitution

Y= 5-2X

Y=

Maths-General

Maths-

### Use Substitution to solve each system of equations :

X + 2Y = -10

Y = -0.5X + 2

### Use Substitution to solve each system of equations :

X + 2Y = -10

Y = -0.5X + 2

Maths-General

Maths-

### What will be the coordinates of the midpoint of the segment joining P (8, 0) and Q (10,8)?

### What will be the coordinates of the midpoint of the segment joining P (8, 0) and Q (10,8)?

Maths-General

Maths-

### A Scuba diver starts a dive with a full tank of oxygen. While diving, She breathes at a constant rate. She checks the gauge after 22 minutes. What does a graph of the function look like ?

### A Scuba diver starts a dive with a full tank of oxygen. While diving, She breathes at a constant rate. She checks the gauge after 22 minutes. What does a graph of the function look like ?

Maths-General

Maths-

### Which of the given pair of angles is complementary?

### Which of the given pair of angles is complementary?

Maths-General

Maths-

### Find the midpoint of the segment joining points A (-8, -5) and B (6, 9).

### Find the midpoint of the segment joining points A (-8, -5) and B (6, 9).

Maths-General

Maths-

### Solve the system of equations by elimination :

4Y + 2X = - 7

4Y - 12X = 16

### Solve the system of equations by elimination :

4Y + 2X = - 7

4Y - 12X = 16

Maths-General

Maths-

### Use Substitution to solve each system of equations :

X = 3Y - 4

2X - 3Y = -2

### Use Substitution to solve each system of equations :

X = 3Y - 4

2X - 3Y = -2

Maths-General