Set up a proportion
3 coins:8 notes and then the other one 24 coins : x (unknown notes)
they have a relationship so we can set them equal to each other.
3/8=24/x cross multiply: 8 * 24 = 192
Now divide that by 3: 192/3 = 64
So there are 64 notes in the bag
The 2 smaller triangles are similar. Thus, y is to z as x is to 4. You need 3 such ratios to find the 3 unknowns. Could you try your hand at writing 1 more ratio based upon the illustration?
4
37x=9x+4
STEPS TO SOLVE
1
Subtract
9
x
9x from both sides of the equation
37
x
=
9
x
+
4
37x=9x+4
37
x
−
9
x
=
9
x
+
4
−
9
x
37x−9x=9x+4−9x
2
Simplify
Combine like terms
37
x
−
9
x
=
9
x
+
4
−
9
x
37x−9x=9x+4−9x
28
x
=
9
x
+
4
−
9
x
28x=9x+4−9x
Combine like terms
28
x
=
4
28x=4
3
Divide both sides of the equation by the same factor
28
x
=
4
28x=4
28
x
28
=
4
28
28
28x
=
28
4
4
Simplify
Simplify fraction
28
x
28
=
4
28
28
28x
=
28
4
x
=
4
28
x=
28
4
Divide the numbers
x
=
1
7
x=
7
1
SOLUTION