Question

Dave is buying pizza and soda. Suppose that a slice of pizza andd a can of soda cost $3. Let E be the amount in dollars that Dave spends on pizza and soda. If Dave buys P slices of pizza and S cans of soda, which equation correctly describes the amount of money he spends? E=P+3S E=3P+S E=P+S E=3P+3S 3E=P+S 2. Now rearrange the equation you wrote above so that S is written in terms of E and P. Which of the following is correct? S=P+E S=(1/3)E-P S=E-3P S=3E-3P S=E-P

Answer 1

E = 3P + 3S,

S=(1/3)E-P

Explanation:

Given,

A slice of pizza and a can of soda cost $3,

That is, total cost of P slices of pizza and S cans of soda = ( 3P + 3S ) dollars,

According to the question,

Total cost of P slices of pizza and S cans of soda = E dollars,

⇒ 3P + 3S = E

Which is the required equation that correctly describes the amount of money spent,

For rearranging the equation in terms of E and P,

We need to isolate S,

Subtract 3P on both sides,

3S = E - 3P

Divide both sides by 3,

`S=(E-3P)/(3)`

`\implies S=((1)/(3))E-P`

Which is the required equation.