Prime factorization of 72
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The equations for the expenses for maintaining 4 lions and 4 leopards in the new large-cat exhibit are as follows:
Lions Leopard
Equations 4x = 32,000 4y = 24,000
<h3>What is an equation?</h3>An equation is a mathematical statement that shows the values of two mathematical expressions are equal.
An equation is made up of two mathematical expressions connected by an equal sign.
<h3>Data and Calculations:</h3>Annual expenses for lion per unit, x = $8,000
Annual expenses for leopard per unit, y = $6,000
Total number of larget-cats required = 8
Let the cost of maintaining 4 lions = 4x
Let the cost of maintaining 4 leopards = 4y
Total cost for 4 lions = $32,000 (8,000 x 4)
Total cost for 4 leopards = $24,000 (6,000 x 4)
Total cost for eight large cats per year = $56,000 ($32,000 + $24,000)
Equation for lions, 4x = 32,000
Equation for leopards, 4y = 24,000
The total costs for maintaining eight large cats in all will be <u>$56,000</u> per year.
Thus, the equations for the expenses for maintaining 4 lions and 4 leopards in the new large-cat exhibit are <u>4x = 32,000</u> and <u>4y = 24,000</u>, respectively.
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