It takes flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. if she spent 100 hours knitting a total of 16 pairs of socks and gloves, how many pairs of each did she knit?

 Flora knitted 3 pairs of socks and 13 pairs of gloves.

Step-by-step explanation:  Given that Flora takes 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves and she spent 100 hours knitting a total of 16 pairs of socks and gloves.

We are to find the number of pairs of socks and gloves that she knitted.

Let a and b denote the number of pairs of socks and gloves respectively that she knitted.

Then, according to the given information, we have

Multiplying equation (i) by 3, we have

Subtracting equation (iii) from equation equation (ii), we get

From equation (i), we get

Thus, Flora knitted 3 pairs of socks and 13 pairs of gloves.