Question

Jim and Sally mow lawns in their neighborhood. Sally mows 5 less than twice the number of lawns Jim mows. Together they mow 25 lawns.

Which system of equations models this situation if j represents the number of lawns Jim mows and s represents the number of lawns sally mows?

Answer 1

D

Explanation:

Sallys= 2(Jims) -5

Sally's + Jim's = 25

Answer 2

• s = 2j -5
• s +j = 25

Explanation:

You want the system of equations that models, "Sally mows 5 less than twice the number of lawns Jim mows, and together they mow 25 lawns."

Translation

The letters 's' and 'j' represent the number of lawns that Sally and Jim mow, respectively.

Then "twice the number of lawns Jim mows" is represented be 2j. And 5 less than that is represented by 2j-5. Since this is the number of lawns Sally mows, the equation is ...

s = 2j -5 . . . . . . . matches only one answer choice (D)

The equation for "together they mow 25 lawns" is ...

s +j = 25