When courtney collected her change she realized she had five times as many dimes as quarters. her dimes and quarters totaled $5.25. how many quarters did she have?

Dimes (0.10): 5Q

Quarters (0.25): Q

 Dimes  + Quarters = Total

0.10(5Q) +  0.25(Q)  = 5.25

0.50Q    +  0.25Q    = 5.25

         0.75Q             = 5.25

                     =

                Q              = 7

7 quarters

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

p

step-by-step explanation: