Question

Melissa has 6 times as many quarters as Michelle. Together, they have a total of 896 quarters. How many quarters, q , does Michelle have?

Answer 1

x = michelle's quarters
m = melissa's quarters
m = 6x
m + x = 896 --> m = 896 - x

now sub 896 - x in for m in the first equation...
m = 6x
896 - x = 6x

can you solve it from here ?

Answer 2

nope

Answer 3

let me finish then....
896 - x = 6x (add x to both sides)
896 - x + x = 6x + x
896 = 7x (now divide both sides by 7)
896/7 =7x/7
128 = x

now sub 128 in for x in first equation...
m = 6x
m = 6(128)
m = 768

check...
m + x = 896
768 + 128 = 896
896 = 896 (correct)

Michelle (x) has 128 quarters
Melissa (m) has 768 quarters

Do you understand how I did this ?

Answer 4

yes thanks

Answer 5

your welcome :)