Question

Zeke bought a total of 15 objects, some which are pencils and the rest are notepads. One pencil costs 5 pesos and each notepad costs 7 pesos. If he paid 89 pesos in total, how many pencils and notepads did zeke buy?

Answer 1

Answer:

Zeke buy 8 pencils and 7 notepads

Step-by-step explanation:

Let x be the no. of pencils

Let y be the no. of notepads

We are given that Zeke bought a total of 15 objects

So, $x+y=15$ ---A

Cost of 1 pencil = 5 pesos

Cost of x pencils = 5x

Cost of 1 notepad = 7 pesos

Cost of y notepads = 7y

Now we are given that he paid 89 pesos in total

So, $5x+7y=89$---B

Substitute the value of x from A in B

$5(15-y)+7y=89$

$75-5y+7y=89$

$75+2y=89$

$2y=14$

$y=7$

Substitute the value of y in A

$x+7=15$

$x=8$

Hence Zeke buy 8 pencils and 7 notepads