M07-09
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09 Nov 2019, 11:39
This problem is easily solved using the table method:
From the prompt:
__________l_Metal_l_Wood_l_Total_
Recline____l__.2M__l__10__l__14__
No Recline_l_______l___*__l______
Total______l___M__l______l___45_
We're asked to find the number of wood, non-reclining chairs (indicated by a star in the table above)
We can subtract 10 wood reclining chairs from the total of 14 reclining chairs to get 4 metal reclining chairs. Since 20% of the total metal chairs recline, the total number of metal chairs is 20:
.2M=4
M=20
__________l_Metal_l_Wood_l_Total_
Recline____l_.2M=4_l__10__l__14__
No Recline_l_______l___*__l______
Total______l_M=20_l______l___45_
We can now subtract 20 metal chairs from 45 total chairs to get 25 wood chairs:
45-20=25
And we can subtract the 10 wood reclining chairs from the 25 total wood chairs to get 15 wood, non-reclining chairs:
25-10=15
__________l_Metal_l_Wood_l_Total_
Recline____l_.2M=4_l__10__l__14__
No Recline_l_______l__15__l______
Total______l_M=20_l__25__l___45_
The correct answer is (C).
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