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Matrices · Question 35 of 106

Question 35

EasyOriginal question

A shop's two branches record their sales of shirts and trousers. March is M=[40253530]M = \begin{bmatrix}40 & 25 \\ 35 & 30\end{bmatrix} and April is N=[45203040]N = \begin{bmatrix}45 & 20 \\ 30 & 40\end{bmatrix}, where row 1 is branch P, row 2 is branch Q, column 1 is shirts and column 2 is trousers. How many trousers did branch Q sell in the two months together?

Options for question 35

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The two months together are M+N=[85456570]M + N = \begin{bmatrix}85 & 45 \\ 65 & 70\end{bmatrix}.

  2. Branch Q is row 2 and trousers are column 2: 30+40=7030 + 40 = 70.

Worth noting

45 is branch P's trousers, row 1 instead of row 2.

Concept
Matrices in a word problem
Typical time
60 s
Your time
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The rule this testsAddition and multiplication by a scalar
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Ten questions from Matrices, at your own pace.

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Ten questions from Matrices, at your own pace.