Kelly and sammie have 47 scrunches. Kelly has 11 more scrunchies than sammie. How many scrunchies does each girl have?

Answer 1

Let's set Kelly's number equal to x, and Sammie's number equal to y. They have a combined total of 47 scrunchies, so...

x + y = 47

But since Kelly has 11 more scrunchies than Sammie, x = y + 11. We can substitute for x in the original equation.

y + 11 + y = 47 ---> 2y + 11 = 47 --> 2y = 36 ---> y = 18, meaning Sammie has 18 scrunchies. Now we simply use this value in the original equation to solve for Kelly.

x + 18 = 47 ---> x = 29, so Kelly has 29 scrunchies.

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Answer 2

x + 11 = number of Kelly scrunchies

x = number of Sammy scrunches

47 total scrunchies

x + x + 11 = 47

2x + 11 = 47

2x = 36

x = 18

Sammy has 18 scrunchies

Kelly has 18 + 11 = 29 scrunchies