Question

A large candy bar costs 35 cents more than a small candy bar. Marianne wants to write an equation for the

approximate cost of(5 small candy bars and 3 large candy bars. If the total cost of the candy is around $5.50,

solve for the approximate cost of a large candy bar and a small candy bar.

Answer 1

Answer:

cost of a large candy bar = 0.82 approx

 the cost of  a small candy bar = 0.47 approx

Step-by-step explanation:

Let x be the cost of a large candy bar and y be the cost of  small candy bar

cost of 5 small candy bars and 3 large candy bars. If the total cost of the candy is around $5.50,

$5x+3y= 5.50$

A large candy bar costs 35 cents more than a small candy bar.

$x=0.35+y$

using two equations, solve for x  and y

$5x+3y= 5.50$

$5(0.35+y)+3y= 5.50\\1.75+5y+3y=5.50\\1.75+8y=5.50$

subtract 1.75 from both sides

$8y=3.75$

divide both sides by 8

$y=0.47$

$x=0.35+y\\x=0.35+0.47\\x=0.82$

cost of a large candy bar = 0.82 approx

 the cost of  a small candy bar = 0.47 approx