Math 2022 Question 22
2 marks
Question
Write the correct number in each shape below to complete the number sentence.
Answer
Triangle = 1
Rectangle = 200
Explanation
I have to admit I took the long way for this question at first and solved it using algebra.
Then I realised if 75 is being taken away then you just have to add 1 to make both sides equal. Since 75 is being used to multiply both sides.
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Algebra Solution (Long way)
First the Rectangle
199 x 75 = Rectangle x 75 – 75
Divide everything by 75
199 = Rectangle -1
199 + 1 = Rectangle
200 = Rectangle
Then the
(199 + Triangle) = Rectangle
199 + Triangle = 200
Triangle = 200-199
Triangle = 1
Hi, Yes i would like the long working. thanks