Answer:
Flora can make 10 pairs of socks and 5 pairs of gloves.
Step-by-step explanation:
Here we have to form two equations from the given information.
Let "x" be the number of pair of socks and "y" be the number of pair of gloves.
Given:
It takes flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 65 hours knitting a total of 15 pairs of socks and gloves,
x + y = 15
3x + 7y = 65
Now we have to solve these two equations to find the solution.
Let's use the substitution method.
From the first equation can be written as
x = 15 - y
Now plug in x = 15 - y in the second equation and find the value of y.
3(15 - y) + 7y = 65 (This is called substitution method)
45 - 3y + 7y = 65
Simplify the like terms
45 + 4y = 65
Subtract 45 from both sides, we get
4y = 65 - 45
4y = 20
Dividing both sides by 4, we get
y = 20/4
y = 5
Now plug in y = 5 in the x = 15 - y
x = 15 - 5
x = 10
Therefore, Flora can make 10 pairs of socks and 5 pairs of gloves.
and n is the set of all natural numbers