Salma has 40 pencils, 35 erasers and 20 sharpners. She wants to make bundles with having the same combination in each one. How many maximum bundles can be made out of this material?
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Answer:
20 maximum bundles can be made
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Step-by-step explanation:
Suppose one eraser, one sharpener and one pencil cost e,s and p rupees respectively.
Given:
5e+7s+9p=100 ........... (1) and 2e+6s+10p=80 ........... (2)
So, from (2)
e+3s+5p=40 ⟹ e=40−3s−5p
Substituting in (1) we get,
5(40−3s−5p)+7s+5p=40 by solving we get s=10−2p ......... (3)
Substitute in (2) we get,
e−p=10 ........... (4)
Adding (3) and (4) we get,
e+s+p=20.
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