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A red pebble is equal to 3 yellow pebbles a blue pebble is equal to a red and 2 yellow pebbles a green is equal to 3 red pebbles. What is the value in pebbles of a green pebble and a blue pebble divided by 2 red pebbles and a yellow pebble

Sagot :

Answer: 2

Step-by-step explanation:

Given

Red pebble is equal to 3 yellow pebble

A blue marble is equal to a red pebble and 2 yellow pebble

A green pebble is equal to 3 red pebble

Suppose [tex]R,B,Y,G[/tex] represents red, blue, yellow, and green pebbles

[tex]\therefore R=3Y\\B=R+2Y\\G=3R[/tex]

Express Red in terms of yellow in blue pebble equation

[tex]B=3Y+2Y\\B=5Y[/tex]

Now, express Green Pebble in terms of yellow pebble

[tex]G=3R=3(3Y)\\G=9Y[/tex]

Value of

[tex]\Rightarrow \dfrac{G+B}{2R+Y}\\\\\Rightarrow \dfrac{9Y+5Y}{2\times 3Y+Y}\\\\\Rightarrow \dfrac{14Y}{7Y}=2[/tex]

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