Question

A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on the 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:

x is the 9 multiple = 9x

Step-by-step explanation:

• Let x is the numbers of flour tortillas packages
• Let y is the numbers of corn tortillas packages

=> the total packages : x + y

Given that the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16, it means:

<=> $\frac{y}{x + y}$ = $\frac{7}{16}$

<=> 16y = 7x+7y

<=> 9y = 7x

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

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

x = 9k

So x is the 9 multiple.

Hope it will find you well.