Avendor sells pizza and soft drinks. a customer buys 6 slices of pizza and 5 drinks for $31.60. another customer buys 5 slices of pizza and 4 drinks for $26.02. find the cost of a slice of pizza.

The cost of a slice of pizza is .

Further explanation:

Given:

A vendor sells soft drinks and pizza.

A customer came and buys slices of pizza and also buys soft drinks and the total cost for that customer is .

Another customer came and buys slices of pizza and also buys soft drinks and the total cost for that customer is .

The objective is to find the cost of a slice of pizza.

Consider the cost of the pizza to be dollars and the cost of soft drinks be dollars.

Given that a customer buys slices of pizza and soft drinks and this costs , so this can be written in the form of an equation as follows:

    ....(1)

Another customer buys slices of pizza and soft drinks and this costs , so this can be written in the form of an equation as follows:

    ....(2)

Now, we have to solve both the equations (1) and (2) to find the cost of pizza.

Multiply equation (1) by 4 as follows:

Label the above equation as follows:

   .....(3)

Multiply equation (2) by 5 as follows:

Label the above equation as follows:

  .......(4)

To find the value of subtract equation (3) from equation (4) as shown below:

Therefore, the value of is .

Thus, the cost of one slice of pizza is .

Learn more:

1. A problem on linear equation

2. A problem on angles

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equations in two variables

Keywords: Vendor, pizza, soft drinks, customer, slices, $31.60, $26.02, cost, linear, equation, solve, multiply, subtract, linear equation, variable.

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour