Question

2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How many pencils did he buy?

This is due this Wednesday it’s needs to be done ASAP!! It needs to be shown full work help me!!!

Answer 1

Answer:

13 pencils.

Step-by-step explanation:

Let x be the pens and y be the pencils

Given:

Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.

Total pens and pencils is 22

So, $x+y=22$----------------(1)

And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.

$0.75x+0.40y=11.95$------------(2)

solve equation 1 and equation 2 for x and y.

From equation 1.

$x+y=22$

$y=22-x$----------------(3)

put y value in equation 2.

$0.75x+0.4(22-x)=11.95$

$0.75x+0.4\times 22-0.4x=11.95$

$0.75x+8.8-0.4x=11.95$

$0.75x-0.4x=11.95-8.8$

$0.35x=3.15$

$x=\frac{3.15}{0.35}$

$x=9$

Now substitute x value in equation 3.

$y=22-9$

$y=13$

So, he buy 13 pencils.