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3 years ago

A bag contains 60 marbles, some blue and some green. The ratio of blue marbles to green

Mathematics

2 answers:

Leni [432]3 years ago

6 0

$\dfrac{1}{1+5}\cdot 60=\dfrac{1}{6}\cdot 60=10$
There are 10 blue marbles (and 50 green ones).

Drupady [299]3 years ago

6 0

Answer:

there are 10 blue marbles in the bag

Step-by-step explanation:

A bag contains 60 marbles, some blue and some green. The ratio of blue marbles to green ones is 1: 5.

Total of 60 marbles

The ration of blue to green is 1:5

1+5 = 6

Total of 6 marbles , 1 is blue

now we make a proportion. Let x be the number of blue marbles in the bag

$\frac{1}{6} = \frac{x}{60}$

Cross multiply it

$60= 6x$

Divide both sides by 6

x=10

So there are 10 blue marbles in the bag

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3 years ago

A drink is made by mixing 650 ml of water with 150 ml of fruit juice.

Luda [366]

<h2>○=> <u>Correct answer</u> :</h2>

$\boxed{\color{hotpink}\tt18.75\%}$ of the drink is fruit juice

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

$=\tt 650 + 150$

$\color{plum}=\tt 800 \: ml$

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

$= \tt\frac{x}{100} \times 800 = 150$

$= \tt \frac{x \times 800}{100} = 150$

$=\tt \frac{800x}{100} = 150$

$=\tt 8x = 150$

$=\tt x = \frac{150}{8}$

$\hookrightarrow\color{plum} \bold{x = 18.75\%}$

Then, the percentage of water in the drink :

$= \tt100 - 18.75$

$\color{plum}= \tt81.25\%$

Thus, the percentage of water in the drink = 81.25%

<h3>○=> <u>Therefore</u> :</h3>

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

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