Question

3. John receives a day worth of pay, p, for 4 days of newspaper delivery. He spent half of his money on gas. Then he
spent $5 on coffee. Now he has $35 left. How much does John get paid each day for newspaper delivery?
a. Write an expression for the amount of money John earns for 4 days.
b. Use part a to write an expression to represent spending half of his money on gas.
c. Use part b to write an expression to represent spending $5 on coffee.
d. If John has $35 left, write an equation that can be used to find how much John gets paid each day. Solve.

Answer 1

Answer:

a. $Total = 4P$

b. $Gas = 2P$

c. $2P - 5$

d. $P = 20$

Step-by-step explanation:

Given

$Amount\ received = P$

$Number\ of\ days = 4$

$Coffee = \ 5$

$Amount\ Left = \ 35$

Calculating (a); the total amount earned;

$Total = Amount * Days$

$Total = 4 * P$

$Total = 4P$

Calculating (b): Money Spent on Gas

From the question, we understand that 1/2 of his earnings is spent on gas;

Hence;

$Gas = \frac{1}{2} * Total$

Substitute 4P for Total

$Gas = \frac{1}{2} * 4P$

$Gas = 2P$

Calculating (c): Expression for coffee

First, we need to calculate the amount left after buying Gas;

$Amount = Total - Gas$

$Amount = 4P - 2P$

$Amount = 2P$

From this amount, he bough coffee of $5;

Hence; he's left with

$2P - 5$

Calculating (d): Calculating his daily earnings

After (c) above, he has $35 left

So, we have

$2P - 5 = 35$

Add 5 to both sides

$2P - 5 + 5= 35 + 5$

$2P = 40$

Divide through by 2

$P = 20$

Hence, his daily earnings is $20