Question
On two separate trips to the market, Jennifer purchased avocados and mangoes. On the first trip, she purchased 6 avocados and 7 mangoes for $16.00. On the second trip she purchased 4 avocados and 2 mangoes for $8.00. Which matrix equation can be used to find the cost of each avocado, a, and the cost of each mango, m ?
Answers
Answered by
GPT 3.5
Let a be the cost of each avocado and m be the cost of each mango.
From the first trip:
6a + 7m = 16
From the second trip:
4a + 2m = 8
Therefore, the matrix equation that can be used to find the cost of each avocado and mango is:
\[ \begin{pmatrix} 6 & 7 \\ 4 & 2 \end{pmatrix} \begin{pmatrix} a \\ m \end{pmatrix} = \begin{pmatrix} 16 \\ 8 \end{pmatrix} \]
From the first trip:
6a + 7m = 16
From the second trip:
4a + 2m = 8
Therefore, the matrix equation that can be used to find the cost of each avocado and mango is:
\[ \begin{pmatrix} 6 & 7 \\ 4 & 2 \end{pmatrix} \begin{pmatrix} a \\ m \end{pmatrix} = \begin{pmatrix} 16 \\ 8 \end{pmatrix} \]