Question

A grocery clerk put only packages of flour tortillas and packages of corn tortillas on a shelf . The ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16. Which number could be the number of packages of flour tortillas the clerk put on the shelf

Answer 1

Answer:

The number of packages of flour tortillas is a 9 multiple.

Step-by-step explanation:

Given there are only packages of flour tortillas and packages of corn tortillas on the shelf.

Let the number of flour tortillas be x and the number of corn tortillas be y

therefore the total number of packages are x+y.

Given the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16.

which means $\frac{y}{x+y} = \frac{7}{16}$

$16y = 7x+7y$

$7x=9y$

$x=\frac{9y}{7}$

since both x and y are integers y is in the form of 7k where k∈N.

$x=9k$

Therefore x is a 9 multiple.