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# solve

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A candy bar and a piece of bubble gum together cost 1.50.  The candy bar costs a dollar more than the bubble gum.  How much does the piece of bubble gum cost, in cents?

Jun 27, 2023

#1
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\$1.25 - Candy bar

\$0.25 - Bubble Gum

Jun 27, 2023
#3
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@SportzGuy2310 I agree with your answer! This is how I did it:

Let candy bar = c and bubble gum = b.

Now let's set up the equation: c+b = 1.50

And we are also given: c = 1+b

Now let's plug in c=1+b into c+b = 1.50

We get: 1+b+b = 1.50 ⟹ 2b+1 = 1.50 ⟹ 2b = 0.50 ⟹ b = 0.25

Therefore, the cost of a bubble gum is \$0.25.

Jun 27, 2023
#4
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This is a system of equations problem. You can either solve it with elimination or substitution.

Let c = candy bar and b = bubble gum.

Elimination:

c + b = \$1.50, and c - b = \$1

c + b + c + (- b) = \$1.50 + \$1

2c = \$2.50

c = \$1.25

\$1.25 + b = \$1.50

b = \$0.25

Substitution:

c + b = \$1.50, and c - b = \$1

c = \$1.50 - b, so \$1.50 - b - b = \$1

\$1.50 - 2b = \$1

- 2b = - \$0.50

b = \$0.25

Since we don't actually have to solve for the candy bar, we can stop.

Jun 27, 2023