# Math Help - Algebra I Word Problem

1. ## Algebra I Word Problem

My son is doing an Algebra I course and has come across an issue with a word problem. I used to excell at math, but apparently that knowledge has begun to slip my mind. Anyhow, here's the problem and any assistance would be appreciated.

Solve each problem using the two given facts.

1. Find the number of full 8 hour shifts that Maria worked last month.

(1) She worked twice as many 6 hour shifts as 8 hour shifts.
(2) She worked a total of 280 hours.

2. Originally Posted by Stoic
My son is doing an Algebra I course and has come across an issue with a word problem. I used to excell at math, but apparently that knowledge has begun to slip my mind. Anyhow, here's the problem and any assistance would be appreciated.

Solve each problem using the two given facts.

1. Find the number of full 8 hour shifts that Maria worked last month.

(1) She worked twice as many 6 hour shifts as 8 hour shifts.
(2) She worked a total of 280 hours.
Denote $x$ to be the number of 6-hour shifts that she worked and $y$ to be the number of 8-hour shifts that she worked.

From the facts that you gave us, we know:
(1) $x = 2y$
(2) $6x+8y = 280$

So then plugging (1) into (2), we get:
$6(2y) + 8y = 20y = 280$

Solve for $y$ from there

3. Originally Posted by Stoic
My son is doing an Algebra I course and has come across an issue with a word problem. I used to excell at math, but apparently that knowledge has begun to slip my mind. Anyhow, here's the problem and any assistance would be appreciated.

Solve each problem using the two given facts.

1. Find the number of full 8 hour shifts that Maria worked last month.

(1) She worked twice as many 6 hour shifts as 8 hour shifts.
(2) She worked a total of 280 hours.

Suppose ,the number of full 8 hour shifts that Maria worked last month is x.(x is a positive integer)

so using the fact (1) , worked hours of 6 hour shifts is 2x

using the fact (2),2x*6+x*8=280.

so U can solve it.

4. Thank you very much. Hopefully he will be able to figure out the rest of his lesson or I can help him with it.

Thanks again.

5. Originally Posted by Stoic
Thank you very much. Hopefully he will be able to figure out the rest of his lesson or I can help him with it.

Thanks again.
Welcome ,.