kiyotakastoenails
kiyotakastoenails kiyotakastoenails
  • 12-02-2022
  • Mathematics
contestada

My little brother spent $53 on comic books and magazines. He bought 17 items. If comic books cost $4 and magazines cost $3, how many of each item did my brother buy?

Respuesta :

semsee45
semsee45 semsee45
  • 12-02-2022

Answer:

comic books = 2

magazines = 15

Step-by-step explanation:

Let c = number of comic books bought

Let m = number of magazines bought

He bought 17 items, so

c + m = 17

Comic books cost $4 each and magazines cost $3 each.

He spent $53 on comic books and magazines, so

4c + 3m = 53

Rearrange c + m = 17 to make m the subject:

m = 17 - c

Substitute  m = 17 - c  into  4c + 3m = 53  and solve for c:

4c + 3(17 - c) = 53

⇒ 4c + 51 - 3c = 53

⇒ c = 2

Substitute c = 2  into m = 17 - c to and solve for m:

m = 17 - 2 = 15

Answer Link

Otras preguntas

Simplify: [5-3x+2y-(2x-y)]-(3x -7y+9)
What happens when a glass rod is dipped in HCl and is brought near ammonia gas?
Fitness can be achieved only through ?
A car has a maximum speed of 341.7 feet/second. Convert this speed to miles/hours.
During his tennis career in singles play, John won 3 fewer tournament A titles than tournament B titles, and 2 more tournament C titles than tournament B titles
what happen to the bulb when it is in series connection?
Complete the second sentence so that it has similar meaning to the first sentence. Do not change the word given. :)She promised to look into my case personally.
name five states formed from thd old northwest territory
Complete the second sentence so that it has similar meaning to the first sentence. Do not change the word given. :)She promised to look into my case personally.
what is the highest common factor of 12 and 49?