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const2013 [10]
3 years ago
14

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 sandals manufactured and spend a total of $3000.
How many pairs of sandals and running shoes does the company make during a typical month?
Mathematics
1 answer:
jonny [76]3 years ago
8 0

Answer:

200 pairs of sandals

Step-by-step explanation:

Represent the sandals with x and the running shoes with y.

In a typical month:

Total = 2500

In April

Total = 3000

Required

The number of sandals in a typical month

<u>In a typical month:</u>

If 1 sandal costs 2.50, then x costs 2.50x

If 1 running shoe costs 4, then y costs 4y

The total is:

2.50x + 4y = 2500

<u>In April:</u>

If 1 sandal costs 2.50, then 2x costs 5x ---- <em>we used 2x because the pairs is doubled </em>

If 1 running shoe costs 4, then y costs 4y

The total is:

5x + 4y = 3000

The equations are:

5x + 4y = 3000

2.50x + 4y = 2500

Subtract

5x - 2.50x + 4y - 4y = 3000 - 2500

2.50x = 500

x = \frac{500}{2.50}

x = 200

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