Question

Cory uses 2 + 3/4 bottles of glue to cover 5/7 of his jumbo poster board. How many bottles of glue will he need to cover the whole poster board?

A. 3 + 1/4 bottles
B. 2 + 1/4 bottles
C. 3 bottles
D. 2 bottles

Answer 1

To cover the whole poster board, Cory will need 77/20 bottles of glue.

Step-by-step explanation:

To find the number of glue bottles needed to cover the whole poster board, we need to first determine how many bottles are needed to cover a fraction of the board. Cory uses 2 + 3/4 bottles of glue to cover 5/7 of the board. To find the number of bottles needed to cover the whole board, we can set up a proportion:


2 + 3/4 bottles / 5/7 of the board = x bottles / 1 whole board.


To solve the proportion, we cross multiply:


(2 + 3/4) * 7/5 = x


Multiplying the numerators and the denominators, we get:


(8/4 + 3/4) * 7/5 = x


(11/4) * (7/5) = x


77/20 = x


So, Cory will need 77/20 bottles of glue to cover the whole poster board.