Question

Each small square on this scale weighs 1 unit. Each larger square weighs 10 units. The weight of the triangle x is unknown. The scale is balanced. Look at the image. A balanced scale. On one side there are four small squares and three large squares each labeled ten. On the other side there are two small squares, two large squares each labeled ten, and a triangle labeled x. Question 1 Part A Write an equation to represent relationship of the weights shown on the scale. Enter the correct answer in the box.

Answer 1

The equation to represent the relationship of the weights shown on the scale s $22 + x = 34$

The weights are given as:

$Small\ Square = 1$

$Larger\ Square = 10$

The total weight on one side, where there are 4 small squares and 3 large squares is:

$Total =4\times Small\ Square + 3 \times Larger\ Square$

$Total =4\times 1 + 3 \times 10$

$Total =34$

The total weight on the other side, where there are 2 small squares, 2 large squares and 1 triangle is:

$Total =2\times Small\ Square + 2 \times Larger\ Square + 1\times triangle$

$Total =2\times 1+ 2 \times 10+ 1\times triangle$

$Total =2+ 20+ 1\times triangle$

$Total =22+ 1\times triangle$

$Total =22+ triangle$

The weight of the triangle is x.

So, we have:

$Total =22+ x$

The weights on both sides are equal, because the scale is balanced.

So, we have:

$22 + x = 34$

Hence, the equation is $22 + x = 34$

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