Answer:
200 is the number of sandals
500 is the number of shoes
Explanation:
x is the number of sandals
y is the number of shoes
so 2.5x + 4y = 2500
=> x = (2500 - 4y)/2.5
In the month of April, the numbers of shoes doubles
2.5(2x) + 4y = 3000
5x + 4y = 3000
Substitute x = (2500 - 4y)/2.5
5(2500 - 4y)/2.5 + 4y = 3000
5000 - 8y + 4y = 3000
-4y = - 2000
y = 500
x = (2500 - 4y)/2.5 = (2500 - 4(500))/2.5
x = (2500 - 2000)/2.5
x = 500/2.5 = 200