Answer: 11 and 4 respectively
Step-by-step explanation:
Let's denote the number of skate board for each color by x and y.
x + y = 15 ......... i
x × y = 44 .......... ii.
From equation I
x = 15 - y ....... iii
Put equation iii into ii.
x × y = 44
(15 - y) × y = 44
15y - y² = 44
15y - y² - 44 = 0
y² - 15y + 44 = 0
y² - 11y - 4y + 44 = 0.
y(y - 11) + 4(y - 11) = 0
(y - 4) = 0. .
y = 0 + 4.
y = 4
(y - 11) = 0
y = 0 + 11 = 11
The colors have 11 and 4 colors of blue and red respectively
