Two fans went to the concession stand at halftime of game four. Fan D bought five hot dogs and four drinks for a total of 32$. Fan E bought three hot dogs and two drinks for a total of 18$. What is the price of a hot dog? What is the price of a drink?

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Two fans went to the concession stand at halftime of game four. Fan D bought five hot dogs and four drinks for a total of 32$. Fan E bought three hot dogs and two drinks for a total of 18$. What is the price of a hot dog? What is the price of a drink?

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Answer 1 · 2016-09-05T23:52:30

The drink costs $$ 3$ $$3$ .

Explanation:

Let $x$ $x$ be the cost of a hot dog, and $y$ $y$ be the cost of a drink.

$5 x + 4 y = 32$ $5x + 4y = 32$
$3 x + 2 y = 18$ $3x + 2y = 18$

Solve by elimination:

$5 x + 4 y = 32$ $5x + 4y = 32$
$+ - 2 (3 x + 2 y) = - 2 (18)$ $+ -2(3x + 2y) = -2(18)$

$5 x + 4 y = 32$ $5x + 4y = 32$
$- 6 x - 4 y = - 36$ $-6x - 4y = -36$
$- - - - - - - - - - - - - - - - - - - -$ $--------------------$
$- x = - 4$ $-x = -4$

$x = 4$ $x = 4$

$:.$ A hotdog costs $$4$ .

Substitute to solve for $y$ .

$5x + 4y = 32$

$5(4) + 4y = 32$

$4y = 12$

$y = 3$

Hence, a drink costs $$3$ .

Hopefully this helps!

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Two fans went to the concession stand at halftime of game four. Fan D bought five hot dogs and four drinks for a total of 32$. Fan E bought three hot dogs and two drinks for a total of 18$. What is the price of a hot dog? What is the price of a drink?

1 Answer

Explanation:

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