Question

Sam earns $360 in 3 days. Jack earns $400 in 4 days. How many days should Sam work to earn $1200 ?

Answer 1

10 days

Explanation:

To determine how many days Sam should work to earn $1,200, set up a proportion based on his earnings per day, where x is the number of days Sam should work to earn $1,200:

`(\$360)/(3)=(\$1200)/(x)`

Cross multiply:

`\$360 \cdot x=\$1200 \cdot 3`

Simplify:

`\$360x=\$3600`

Now, divide both sides by $360 to isolate x:

`(\$360x)/(\$360)=(\$3600)/(\$360)`

`x=10`

Therefore, Sam should work for 10 days to earn $1,200.

Answer 2

10 days

Explanation:

Sam earns $120 per day.

To earn $1200, Sam needs to work for 1200/120 = 10 days.

Therefore, Sam needs to work for 10 days to earn $1200.