A farmer planned to plant 120 seeds in all. After planting 10 more seeds each day than was planned, she was able to finish 2 days earlier. How many seeds were planted each day?

ANSWERS

2017-08-14 01:40:58

Let s=number of seeds and t=number of days... st=120 and (s+10)(t-2)=120 From the first we can say t=120/s, now using this value of t in the second equation gives us: (s+10)(120/s-2)=120 (s+10)(120-2s)/s=120 (s+10)(120-2s)=120s 120s-2s^2+1200-20s=120s 2s^2+20s-1200=0 s^2+10s-600=0 (s+30)(s-20)=0, since s>0 s=20, and since she planted s+10 seeds per day to finish two days earlier: 20+10=30 She planted 30 seeds per day.

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