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The number of lawns l that a volunteer can mow in a day varies inversely with the number of shrubs s that need to be pruned that day. If the volunteer can prune 6 shrubs and mow 8 lawns in one day, then how many lawns can be mowed if there are only 3 shrubs to be pruned?

Respuesta :

JeanaShupp

Answer: 16 lawns can be mowed if there are only 3 shrubs to be pruned.

Step-by-step explanation:

Equation of inverse variation: [tex]x_1y_1=x_2y_2[/tex]

Given: Number of lawns l that a volunteer can mow in a day varies inversely with the number of shrubs s that need to be pruned that day.

Then, [tex]l_1s_1=l_2s_2[/tex]

Put [tex]l_1=8,\ s_1=6,\ s_2=3[/tex]   [To find: [tex]l_2[/tex]]

[tex]8\times6=3l_2\\\\\Rightarrow\ l_2=8\times2=16[/tex]

Hence, 16 lawns can be mowed if there are only 3 shrubs to be pruned.

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