Question

What is the value of the star?​

Answer 1

Star = 62

Explanation:

To solve this, we need to find out what the value of the blue triangle is. To do this, we can take the right column, which adds up to -72, and divide that by 3.

• -72 ÷ 3 = -24

So, the value of the blue triangle is -24.

Now that we know this, we can solve for the value of the green trapezoid. (Top row going horizontally). To do this, we need to take the total value and subtract the value of the blue triangle from it.

• 138 - (-24) = 162

Now divide that by 2 to get the value of each trapezoid:

• 162 ÷ 2 = 81

So, the value of the green trapezoid is 81.

To solve for the value of the orange diamond (middle row going down), we can take the total and subtract 2 green trapezoids from it.

• 105 - 81 - 81 = -57

To check, we can now do the middle horizontal row. Adding up the shapes:

• -24 + 81 + (-57) = 0

This is the proper value, meaning that the value of the orange diamond is -57.

Just to recap:

• Blue triangle = -24

• Green trapezoid = 81

• Orange diamond = -57

Now, to solve for the value of the star, we can solve the row on the right going vertically. To solve for this, we must take the total value and subtract the value of the diamond and trapezoid from it.

• 86 - 81 - (-57) = 62

To check once again, we can now do the row on the bottom going horizontally. Adding up the numbers:

• -24 + (-57) + 62 = -19

This is the proper value, meaning that the value of the star is 62.