The ratio of the number of brownies sold to the number of cookies sold is 3: 5.

Each piece of brownie was sold for $1 more than each piece of cookie. Eric

collected $154 for all brownies and cookies sold. He collected $44 more from the

sale of brownies than the sale of cookies. How many brownies were sold?

KourageKowardlyDog Sep 7, 2021

#1**+4 **

Let x = number of brownies sold.

y = number of cookies sold.

: x/y = 3/5

=> 5x - 3y = 0 -------- 1

Let $p be the price of each piece of cookies.

Given that, each piece of bro is sold for $1

more than each piece of cookie.

: The price of each piece of brownie is $(8+1)

Eric collected $154 for all brownies and cookies sold.

: (8+1)x + Py = 154 -------- 2

Also, Eric collected $44 more from the sale of brownies than the sale of cookies.

: (p+1)x = 44 + py

Substituting (p+1) x = 44+py in equation 2 we, get

44 + py + py = 154

=> 2py = 110

=> py = 55 ------ 3

From equation 1, y = 5/3x.

: Substituting value y = 5/3x in equation 3, we get

P(5/3x) = 55 => px = \({55 * 3 \over 5} = 33{}{}\)

=> px * 33 -----4

Substituting values of px = 33 of py = 55 in

equation 2, we have

(P+1)x + Py = 154

=> Px + x + Py = 154

=> 33 + x + 55 = 154 => x = 154 - 33 - 55

=> x = 66

Substituting x = 66 in equation 1, we have

5x - 3y = 0 => 5(66)- 3y = 0 => 3y = 330

=> y = 110

Substituting x = 66 in equation 4, we have

px = 33 => p (66) = 33 => P=0.5

: Each piece of cookie is sold at $0.5 and each piece of brownie is sold at $1.5

The number of cookie sold = y = 110.

The number of brownies sold is x = 66.

: 66 pieces of brownies were sold.

apsiganocj Sep 10, 2021