For the fundraiser, will sold 225 candy bars.he earns $1 for each almond candy bar he sells and $0.75, how many of each type of candy bar did he sell for the fundraiser?

solving systems using elimination

How much money did Will get?

$0.75 for what?

The Spanish club at Wright High School is selling

two types of candy, chocolate bars and lollipops,
for a fundraiser. The club will make a profit of $2 on
each chocolate bar and a profit $0.75 on each
lollipop. The president of the club has determined
that at most the club members will sell 500 pieces
of candy, but they must make at least $500 in
profit.

To solve this problem using the method of elimination, we need to set up a system of equations based on the given information.

Let's say the number of almond candy bars sold is 'x' and the number of regular candy bars sold is 'y'.

From the given information, we know that a total of 225 candy bars were sold. So, we can set up the first equation as:

x + y = 225 - Equation 1

We also know that for each almond candy bar sold, he earns $1 and for each regular candy bar sold, he earns $0.75. So, we can set up the second equation as:

1x + 0.75y = Total earnings - Equation 2

To find the total earnings, we need to multiply the number of almond bars sold, 'x', by $1, and the number of regular candy bars sold, 'y', by $0.75. The total earnings in this case would be $225 because each candy bar sold for $1.

So, substituting the values into Equation 2, we get:

1x + 0.75y = $225 - Equation 2

To solve the system of equations using elimination, we can multiply Equation 1 by -0.75 and keep Equation 2 as it is:

-0.75(x + y) = -0.75(225) - Modified Equation 1
1x + 0.75y = $225 - Equation 2

Now, we can distribute -0.75 to Equation 1:

-0.75x - 0.75y = -0.75(225) - Modified Equation 1

Simplifying Equation 1, we get:

-0.75x - 0.75y = -168.75 - Modified Equation 1

Now we can add Equation 1 and Equation 2 together:

(-0.75x - 0.75y) + (1x + 0.75y) = -168.75 + $225

Simplifying the equation further:

0.25x = 56.25

Now divide both sides of the equation by 0.25:

x = 225

So, the number of almond candy bars sold is 225.

To find the number of regular candy bars, we substitute the value of x in Equation 1:

225 + y = 225

Subtracting 225 from both sides of the equation:

y = 0

Therefore, the number of regular candy bars sold is 0.

In conclusion, he sold 225 almond candy bars and 0 regular candy bars for the fundraiser.