A gardener found that he was able to plant #1/4# of a packet of flower seeds in #1/5# of a garden. At this rate, how much of the garden would he cover with an entire packet of seeds? a. #1/20# b. #4/5# c. #5/4# d. #9/2#

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Answer 1 · 2018-04-03T15:47:34

b. #4/5#

An entire packet of seeds would be equal to #1/4# of a packet times 4 (to equal 1 packet).

Multiply the 4 by the #1/5# of a garden that can be covered by #1/4# of a packet

#4*1/5=4/5#

You can also set up a proportion where x is the unknown amount of garden that a full packet of seeds can cover

#(1/4)/(1/5)=1/x#

#1/5*1=1/4*x rarr# Cross multiply and solve for x

#1/5=1/4x#

#x=4/5#

Answer 2 · 2018-04-03T15:47:38

b. #4/5#

since #1/4# gives #1/5#

Then 1 packet = #1/4+1/4+1/4+1/4#

which is 4 of the garden

Hence #4*1/5=4/5#