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Mr Nawa owns a company that makes two sizes of blocks, 4 inch and 5 inch. On Monday he had two clients, Mr LuLu bought 4 inch blocks and a 5 inch block and Mr Sili bought 4 inch black and 5 inch blocks. Using the statement above, make two statements of simultaneous equations.

Mathematics

ScanSolve AI Answer

Answer

\begin{align} m + n &= T_L \\ n + m &= T_S \end{align}

Step-by-step solution

2 steps

Here are the two statements of simultaneous equations based on the information provided:

  1. Identify the quantities of blocks purchased by each client.

    Mr. Luvu bought mm 4-inch blocks and nn 5-inch blocks.
    Mr. Silile bought nn 4-inch blocks and mm 5-inch blocks.

  2. Formulate an equation for the total number of blocks purchased by each client.

    Let TLT_L represent the total number of blocks Mr. Luvu bought.
    Let TST_S represent the total number of blocks Mr. Silile bought.

    The two statements of simultaneous equations are:
    For Mr. Luvu's total purchase:

    m+n=TL(i)m + n = T_L \quad \text{(i)}

    For Mr. Silile's total purchase:

    n+m=TS(ii)n + m = T_S \quad \text{(ii)} m+n=TLn+m=TS\begin{align*} m + n &= T_L \\ n + m &= T_S \end{align*}
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