A garrison of 120 people had enough food for 30 days. If 20 people leave the garrison after 10 days, how long do the remaining provisions last?

We know that no. of days is inversely propotional to the provision for men.

So for 120 men the provision would last for 30days. (given)

Therefore, the provision for 1 men would sustain for. 120 *30 = 3600 days.

Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days

A.t.q 120*30 = 120*5+125*x

(120*30) - (120*5)= 125x

120(30-5)=125x

120 * 25 = 125x

120 = 5x

x=120/5

x= 24

so the provision would remain for more 24 days.

Tim needs to mow 5 more lawns in order to buy his new lawnmower

Step-by-step explanation:

1) Tim has already mowed $30 worth of lawns

2) Tim makes $10 per mow

4) Tim needs to make $75 total for his new mower

5) $75 - $30 = $45

6) Tim needs to make $45 in order to get his new mower

7) 5 x 10 = 50

8) Tim needs to mow 5 lawns in order to make over $45

9) If Tim only mowed 4 lawns he would make $40 and still be $5 short