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Lubov Fominskaja [6]
3 years ago
14

A crate weighs 6 kg when empty. A lemon weighs about 0.2 kg. For economical shipping the crate with lemons must weigh at least 4

5kg. How many lemons should be put in the crate?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0
Let x be the number of lemons

6 + 0.2x > or = 45

subtract 6 from both sides

0.2x > or = 39

Divide both sides by 0.2
(÷0.2 ÷0.2)

x > or = 195

Therefore the minimum number of lemons must be 195
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c = amount of chocolate donuts

m = amount of maple donuts.

so we know the total in all is 41 donuts, thus c + m = 41.

we also know that whatever c is, m is 25 fewer than that, m = c - 25.

\bf \begin{cases} c+m=41\\ \boxed{m}=c-25\\ --------\\ c+\boxed{c-25}=41 \end{cases} \\\\\\ 2c-25=41\implies 2c=66\implies c=\cfrac{66}{2}\implies c=33 \\\\\\ \stackrel{\textit{since c = 33}}{m = c - 25}\implies m=33-25\implies m = 8

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