Question

given a balance diagram with total 20 at the top. on the left side, there is a blue triangle (▽) with a green circle (●) below it. on the right side, there are two red trapezoids (▲) and two green circles (●) below them. it is given that ● = 3. we need to find the values of ▲ and ▽.

Explanation:

Step1: Define variables for shapes

Let $\triangle = x$, $\triangledown = y$, $\bigcirc = 3$ (given).

Step2: Set up right side equation

Right side has 1 $\triangle$ + 2 $\bigcirc$, equals 20.
$x + 2\times3 = 20$

Step3: Solve for $\triangle$

Calculate $2\times3=6$, isolate $x$:
$x = 20 - 6 = 14$

Step4: Set up left side equation

Left side has 1 $\triangledown$ + 1 $\bigcirc$, equals 20.
$y + 3 = 20$

Step5: Solve for $\triangledown$

Isolate $y$:
$y = 20 - 3 = 17$

Answer:

$\triangle = 14$, $\triangledown = 17$