Question

Aldrin bought 5 pencils and 7 notebooks. A notebook cost 10. 80 more than a pencil write an algebraic equation showing that the total amount of the school supplies bought is210. 00

Answer 1

5x + 7(x + 10.80) = 210.00

Explanation:

Let x be the cost of a pencil in dollars. Then, the cost of a notebook is 10.80 dollars more, which is x + 10.80 dollars.

Aldrin bought 5 pencils and 7 notebooks, so the total cost is:

5x + 7(x + 10.80) = 210.00

Simplifying and solving for x, we have:

5x + 7x + 75.60 = 210.00

12x = 134.40

x = 11.20

Therefore, a pencil costs 11.20 dollars and a notebook costs 10.80 dollars more, which is 22.00 dollars.

We can check that the total cost of 5 pencils and 7 notebooks at these prices is indeed 210.00 dollars:

5 pencils * 11.20 dollars/pencil + 7 notebooks * 22.00 dollars/notebook = 56.00 dollars + 154.00 dollars = 210.00 dollars