Astore sells small notebooks for $6 and large notebooks for $12. if a student buys 6 notebooks and spends $54, how many of each size did he buy?

small = x

large = y

x+y = 6

x=6-y

6x +12y = 54

6(6-y) + 12y =54

36-6y +12y = 54

6y =18

y = 18/6 =3

they bought 3 small and 3 large

check 3*6 =18

3*12 =36

36+18 = 54

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

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step-by-step explanation: