Question

Haliegh bought 10 short and long socks from

the store. Long socks cost $3.00 and short
socks cost $2.00. Haliegh spent a total of
$27.00. How many long socks (L) and how
many short socks (S) did she buy?
L + S = 10
3L+ 2S = 27
[?] long socks [] short socks

Answer 1

7

3

Explanation:

L + S = 10 (equation 1)

3L + 2S = 27 (equation 2)

Feom equation 1, we can make L the subject of formula. L = 10 - S (equation 3)

Nkw we replace equation 3 in equation 2.

3L + 2S = 27

3(10-S) + 2S = 27

30 - 3S + 2S = 27

- S = - 3

S = 3

Replace S by 3 in equation 3.

L = 10 - S = 10 - 3 = 7

Short socks = 3

Long socks = 7