One day, he bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for dollars each. he spent a total of $135.97. write and solve an equation to find the cost of one pair of shoes. the following day cory returned to the store to purchase some more socks. he had $40 to spend. when he arrived at the store, the shoes were on sale 1/3 off. what is the greatest amount of pairs of socks cory can purchase if he purchases another pair of shoes in addition to the socks?

$36.99, 6 pairs of socks

Step-by-step explanation:

10(2.50)+3(x)= 135.97

25+3x=135.97

-25. -25

3x=110.97

÷3. ÷3

×=$36.99 (price for each shoe)

36.99*2/3=24.66 (price for discounted shoes)

24.66+2.5(s)=40

-24.66. -24.66

2.5s=15.34

÷2.5. 2.5

s=6.136

6 pairs of socks

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to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.