Gardeners 47883

Gardeners have planted 1,100 flowers.
Pansies are 280 less than tulips, and 40 daffodils than pansies. How many pansies have they planted?

Correct answer:

s =  260

Step-by-step explanation:

s+t+n=1100 s=t−280 n=40+s  n+s+t=1100 s−t=−280 n−s=40  Row3−Row1→Row3 n+s+t=1100 s−t=−280 −2s−t=−1060  Pivot:Row2↔Row3 n+s+t=1100 −2s−t=−1060 s−t=−280  Row3−−21​⋅ Row2→Row3 n+s+t=1100 −2s−t=−1060 −1.5t=−810  t=−1.5−810​=540 s=−2−1060+t​=−2−1060+540​=260 n=1100−s−t=1100−260−540=300  n=300 s=260 t=540

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