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azamat
3 years ago
15

An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2 7 of all eggs are gre

en, 1 4 of all are blue and the rest 26 eggs are red.
Mathematics
1 answer:
sashaice [31]3 years ago
4 0

Answer:

56 eggs

Step-by-step explanation:

If \frac{2}{7} of all eggs are green, \frac{1}{4} of all are blue, then

1-\dfrac{2}{7}-\dfrac{1}{4}=\dfrac{28-2\cdot 4-7}{28}=\dfrac{13}{28}

of all eggs are red.

We know that there are 26 red eggs

26\text{ eggs }-\dfrac{13}{28}\\ \\x\text{ eggs }- 1[=\dfrac{28}{28}]

Make a proportion

\dfrac{26}{x}=\dfrac{\frac{13}{28}}{1}\\ \\26\cdot 1=x\cdot \dfrac{13}{28}\ [\text{Cross multiply}]\\ \\13x=26\cdot 28\ [\text{Multiply by 28 to get rid of fraction}]\\ \\x=\dfrac{26\cdot 28}{13}\ [\text{Divide by 13 to get x}]\\ \\x=2\cdot 28\\ \\x=56

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