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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 $44 more from the sale of brownies than the sale of cookies. How many brownies were sold? Sep 7, 2021 ### 1+0 Answers #1 +272 +4 Let x = number of brownies sold. y = number of cookies sold. : x/y = 3/5 => 5x - 3y = 0 -------- 1 Let$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.

Sep 10, 2021