You are ordering softballs for two softball leagues. the pony leagues uses an 11-inch softball prices at $2.75. the junior league used a 12-inch softball prices at $3.25. the bill smeared in the rain, but you know the total was 80 softballs for $245. how many of each size did you order?

I have ordered 30 softballs of 11-inch and 50 soft balls of 12-inch.

Step-by-step explanation:

Let the number of 11-inch softball be 'x'.

Let the number of 12-inch softball be 'y'.

Given:

Total number of soft balls = 80

Now we know that.

Total number of soft balls is equal to sum of the number of 11-inch softball and the number of 12-inch softball.

framing in equation form we get;

Also Given:

Price of 11- inch softball = $2.75

Price of 12-inch softball = $3.25

Total Bill = $245

Now we know that;

Total bill of soft balls is equal to sum of Price of 11- inch softball multiplied by the number of 11-inch softball and Price of 12- inch softball the number of 12-inch softball.

framing in equation form we get;

Now Multiplying equation 1 by 3.25 we get;

Now Subtracting equation 2 from equation 3 we get;

Dividing both side by 0.5 we get;

Now Substituting the value of 'x' in equation 1 we get;

Hence I have ordered 30 softballs of 11-inch and 50 soft balls of 12-inch.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: