Question

Jeremy's teacher buys 6 packs of thumbtacks. Each pack contains t thumbtacks. She uses 18 thumbtacks to display posters around her classroom.

Which expression gives the number of thumbtacks she has left?
A) 3(6-t)
B) 3(t-6)
C) 6(t-3)
D) 6(3-t)

Answer 1

The correct expression for the number of thumbtacks left is 6(t - 3)(option c). Jeremy's teacher starts with 6t thumbtacks and uses 18, thus subtracting and factoring yields the answer.

Step-by-step explanation:

The question involves finding the number of thumbtacks Jeremy's teacher has after using some for displaying posters. If each pack contains t thumbtacks and she buys 6 packs, then the total number of thumbtacks is 6t.

After using 18 thumbtacks, we subtract this number to find how many are left: 6t - 18. None of the options provided (A, B, C, D) exactly match this algebraic expression. However, if we factor out a 3 from the difference, the expression becomes 6t - 3(6), which simplifies to 6(t - 3), making option C correct.

Therefore the option C) 6(t-3)expression gives the number of thumbtacks she has left with.