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3 years ago

15

A bag contains purple marbles and red marbles, 34 in total. The number of purple marbles is 2 more than 3 times the number of re

d marbles. How many purple marbles are there?

1 answer:

Irina-Kira [14]3 years ago

7 0

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :

Let red marbles = x,

$purple = 2 + 3x$

$red = x$

Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :

$2 + 3x + x = 34$

$4x = 32$

$x = 32 \div 4$

$x = 8$

Lastly, you have to substitute the value of x into the expression of purple marbles :

Let x = 8,

$purpe = 2 + 3(8)$

$purple = 26$

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Explanation:

The area of the triangle on the left is base*height/2 = 0.5*2/2 = 0.5 square feet. Note that 1/2 = 0.5

The area of the triangle on the right side is base*height/2 = 0.2*3/2 = 0.75 square feet. This converts to the fraction 3/4

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If you need the answer as an improper fraction, then,

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Step-by-step explanation:

According to the given situation,

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Answer:

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Step-by-step explanation:

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