Mathematics, 16.07.2019 03:00 s2000damian

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.

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Answer from: avagracegirlp17zx2

The cost of a slice of pizza is $\boxed{\$3.7}$ .

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 $\$31.60$ .

Another customer came and buys slices of pizza and also buys soft drinks and the total cost for that customer is $\$26.02$ .

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 $\$31.60$ , so this can be written in the form of an equation as follows:

$\fbox{\begin\\\ \math 6x+5y=31.60\\\end{minispace}}$ ....(1)

Another customer buys slices of pizza and soft drinks and this costs $\$26.03$ , so this can be written in the form of an equation as follows:

$\fbox{\begin\\\ \math 5x+4y=26.02\\\end{minispace}}$ ....(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:

$4(6x+5y)=4\times31.60\\24x+20y=126.4$

Label the above equation as follows:

$\boxed{24x+20y=126.4}$ .....(3)

Multiply equation (2) by 5 as follows:

$5(5x+4y)=5\times26.02\\25x+30y=130.1$

Label the above equation as follows:

$\boxed{25x+30y=130.1}$ .......(4)

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

$\begin{aligned}25x+20y-(24x+20y)&=130.1-126.4\\25x+20y-24x-20y&=3.7\\x&=3.7\end{aligned}$

Therefore, the value of is 3.7 .

Thus, the cost of one slice of pizza is $\boxed{\$3.7}$ .

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.

Answer from: Quest

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

Answer from: Quest

b because it contains 40% of the possible results from the random list.

0,1,2,3 v 4,5,6,7,8,9

4 integers to 6 integers

40% success vs 60% fail

step-by-step explanation:

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Avendor sells pizza and soft drinks. a customer buys 6 slices of pizza and 5 drinks for $31.60. anot...