Question

Shenika is selling magazine subscriptions for the animal shelter. A yearly subscription to a story magazine is $12. 50. A yearly subscription to a puzzle magazine is $14. She raised a total of $1,225 for the animal shelter. The number of subscriptions to the story magazine, s, is 20 more than twice the number of subscriptions to the puzzle magazine, p. Which system of equations finds the number of each magazine sold? 14 s 12. 50 p = 1,225. S = 2 p 20. 12. 50 s 14 p = 1,225. S = 2 p 20. 14 s 12. 50 p = 1,225. P = 2 s 20. 12. 50 s 14 p = 1,225. P = 2 s 20.

Answer 1

The equations that will find the number of each magazine sold is:

$\begin{aligned}\rm \ 12.50s + \ 14p &= \ 1,225\\\\s &= 2p + 20\end$,

where "s" is the number of story magazines and "p" is the number of puzzle magazines.

Linear equation in two variables:

Linear equation in two variables can be defined as a function in the form $\rm ax + by + c = 0$ , where the value of a and b is not equal to zero.

The equations for the given questions can be obtained as:

Given:

$\begin{aligned}\rm Cost\:of\:story\:magazine\:subscription &= \ 12.50\\\\\rm Cost\:of\:puzzle\:magazine\:subscription &= \ 14\\\\\rm Total\: amount\:raised &= \ 1,225\end$

Let the number of story magazines be "s" and the number of puzzle magazines be "p". The total revenue can be presented as a sum of revenue from each magazine.

Revenue from each magazine is a product of the cost of the magazine and the number of subscriptions.

Therefore,

$\begin{aligned}\rm Revenue &= (12.50 \times s) + (14 \times p)\\\\1,225 &= 12.50s + 14p\end$

Given, the number of subscriptions of story magazines is 20 more than twice of puzzle magazines. Therefore,

$s &= 2p + 20\end$

Hence the correct option is b.

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