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docker41 [41]
3 years ago
14

A scientific calculator has 42 buttons. There are twice as many grey buttons as orange buttons. There are two more white buttons

than grey buttons. There twice as many black buttons as white buttons. WRITE AN EQUATION TO CALCULATE HOW MANY BUTTONS OF EACH COLOUR THERE ARE. LET X REPRESENT THE NUMBER OF ORANGE BUTTONS.
Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Answer:

x + 2x + 2x + 2 + 4x + 4 = 42

Step-by-step explanation:

Let us assume the number of orange buttons be x

So, the grey buttons be 2x

The white buttons would be 2x + 2

And the black buttons be 2(2x + 2) i.e. 4x + 4

Also the total is 42 buttons

So, the equation is

x + 2x + 2x + 2 + 4x + 4 = 42

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Step-by-step explanation:

If 1 & 1/2 (aka 3/2) fills 2/3 of the container, then:

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To find half of 3/2, we multiply 3/2 by the <em><u>inverse</u></em> of 2, which is 1/2.

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