Flower Garden Planting Count

The gardeners planted 1,100 flowers. Pansy is 280 less than tulips, and daffodils are 40 more than pansies.
a) how many flowers did they plant?
b) of the planted flowers, 5% of tulips and 2% of daffodils dried up. How many flowers continued to grow?

Final Answer:

n =  300
s =  260
t =  540
x =  1067

Step-by-step explanation:


s=t-280
n = 40+s
s+n+t=1100

s-t = -280
n-s = 40
n+s+t = 1100

Pivot: Row 1 ↔ Row 2
n-s = 40
s-t = -280
n+s+t = 1100

Row 3 - Row 1 → Row 3
n-s = 40
s-t = -280
2s+t = 1060

Pivot: Row 2 ↔ Row 3
n-s = 40
2s+t = 1060
s-t = -280

Row 3 - 1/2 · Row 2 → Row 3
n-s = 40
2s+t = 1060
-1.5t = -810


t = -810/-1.5 = 540
s = 1060-t/2 = 1060-540/2 = 260
n = 40+s = 40+260 = 300

n = 300
s = 260
t = 540

Our linear equations calculator calculates it.
x=1100−5/100⋅ t−2/100⋅ n=1100−5/100⋅ 540−2/100⋅ 300=1067

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