A shoe manufacturer spends 2.50 to make sandals and 4 to make running shoes. - During the month of March, they spent 2,500 manufacturing x sandals and y running shoes. - During the month of April, they doubled the sandals and spent 3,000 (keeping the same number of running sho How many sandals did they manufacture in April? A. 200 B 500 400 D 1000

To solve this problem, we need to set up a system of equations based on the given information.<br /><br />Let's define:<br />- \( x \) as the number of sandals manufactured in March.<br />- \( y \) as the number of running shoes manufactured in March.<br /><br />From the given information, we can write the following equations:<br /><br />1. For March:<br /> \[<br /> 2.50x + 4y = 2500<br /> \]<br /><br />2. For April:<br /> - The number of sandals is doubled, so the number of sandals in April is \( 2x \).<br /> - The number of running shoes remains the same, so it is still \( y \).<br /> - The total cost for April is:<br /> \[<br /> 2.50(2x) + 4y = 3000<br /> \]<br /><br />Simplify the equation for April:<br />\[<br />5x + 4y = 3000<br />\]<br /><br />Now we have the system of equations:<br />1. \( 2.50x + 4y = 2500 \)<br />2. \( 5x + 4y = 3000 \)<br /><br />To eliminate \( y \), we subtract the first equation from the second equation:<br />\[<br />(5x + 4y) - (2.50x + 4y) = 3000 - 2500<br />\]<br />\[<br />5x + 4y - 2.50x - 4y = 500<br />\]<br />\[<br />2.50x = 500<br />\]<br />\[<br />x = 200<br />\]<br /><br />So, the number of sandals manufactured in March is 200. Since the number of sandals in April is doubled:<br />\[<br />2x = 2 \times 200 = 400<br />\]<br /><br />Therefore, the number of sandals manufactured in April is 400.<br /><br />The correct answer is:<br />C. 400