A store ordered 650 candles at a total wholesale cost of $7215.80. They bought some wax candles at $9.94 each and some nicer candles at $12.49 each. How much of each did they buy?
Please help! Thnx!
To solve this problem, we can set up a system of equations based on the given information.
Let's represent the number of wax candles purchased as "x" and the number of nicer candles purchased as "y".
The total number of candles purchased is 650, so we have the equation:
x + y = 650
The total wholesale cost of the wax candles is the product of the number of wax candles purchased (x) and the cost per wax candle ($9.94). Similarly, the total wholesale cost of the nicer candles is the product of the number of nicer candles purchased (y) and the cost per nicer candle ($12.49). The sum of these costs should equal $7215.80, so we have the equation:
9.94x + 12.49y = 7215.80
Now we have a system of equations:
x + y = 650
9.94x + 12.49y = 7215.80
Solving this system of equations can be done using various methods, such as substitution or elimination.
Let's use the substitution method:
From the equation x + y = 650, we can isolate x:
x = 650 - y
Substituting this value of x into the second equation:
9.94(650 - y) + 12.49y = 7215.80
6446 - 9.94y + 12.49y = 7215.80
2.55y = 769.80
y = 301.96
Now we can substitute this value of y back into the first equation to solve for x:
x + 301.96 = 650
x = 650 - 301.96
x = 348.04
Therefore, the store bought 348 wax candles and 302 nicer candles.
what have they told you? In algebra, add up the number of candles, and add up their cost.
w+n = 650
9.94w + 12.49n = 7215.80
Now just find w and n