MANUFACTURING A shoe manufacturer spends 2.50 to make sandals and 4 to make running shoes During a typical month they spend 2500 manufacturing sandals and running shoes. During the month of April, they double the pairs of sandais manufactured and spend a total of 3000. How many pairs of sandals and running shoes does the company make during a typical month? Number of sandals: square Number of running shoes: square

Question

Answer 1

Let's denote the number of pairs of sandals made during a typical month as

and the number of pairs of running shoes made as

.We are given the following information:1. The cost to make sandals is

2.50

\

each.3. During a typical month, the company spends

2500

\

.We can set up a system of equations based on this information:For a typical month:

For the month of April, where the number of pairs of sandals is doubled:

Now, let's solve this system of equations step by step.First, simplify the second equation:

Now we have two equations:

To eliminate

, we can multiply the first equation by 2:

Now subtract the second equation from this new equation:

Now that we have the value of

, we can substitute it back into one of the original equations to find

. Let's use the first equation:

Therefore, during a typical month, the company makes:Number of sandals:

Number of running shoes:

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