Find the Numbers inside!

a) Blue- 5; Red- 15; Green- 12; Orange- 7
b) Blue- 7; Red- 15; Green- 6; Orange- 5
c) Blue- 9; Red- 7; Green- 12; Orange- 15
d) Blue- 7; Red- 9; Green- 19; Orange- 7?

Question

Find the Numbers inside!

a) Blue- 5; Red- 15; Green- 12; Orange- 7
b) Blue- 7; Red- 15; Green- 6; Orange- 5
c) Blue- 9; Red- 7; Green- 12; Orange- 15
d) Blue- 7; Red- 9; Green- 19; Orange- 7?

Arjun Srinivasan · Accepted Answer

We can solve these equations step by step to find the values of Blue, Red, Green, and Orange.
First, let's solve for one of the colors. We'll start with Blue:
From equation 1, we have:Blue + Red = 16=> Blue = 16 - Red [Let's call this equation 5]
Now, substitute equation 5 into equation 2:(16 - Red) + Green = 26=> 16 - Red + Green = 26=> Green - Red = 26 - 16=> Green - Red = 10 [Let's call this equation 6]
Next, use equations 3 and 4:Red + Orange = 16 and Green - Orange = 12
These can be rewritten as:Orange = 16 - Red [Let's call this equation 7]Green = Orange + 12 [Let's call this equation 8]
Now, substitute equation 7 into equation 8:Green = (16 - Red) + 12=> Green = 28 - Red [Let's call this equation 9]
Finally, substitute equation 9 into equation 6:28 - Red - Red = 10=> 28 - 2 * Red = 10=> 2 * Red = 28 - 10=> 2 * Red = 18=> Red = 18 / 2=> Red = 9
Now, we can find the values of the other colors using the value of Red:
From equation 5:Blue = 16 - 9=> Blue = 7
From equation 7:Orange = 16 - 9=> Orange = 7
From equation 9:Green = 28 - 9=> Green = 19
So, the values are:
Blue = 7Red = 9Green = 19Orange = 7
 
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Find the Numbers inside! a) Blue- 5; Red- 15; Green- 12; Orange- 7 b) Blue- 7; Red- 15; Green- 6; Orange- 5 c) Blue- 9; Red- 7; Green- 12; Orange- 15 d) Blue- 7; Red- 9; Green- 19; Orange- 7?