Question

A softball coach has ordered softballs for two different leagues. The Junior League uses

Answer 1

The number of 11-inch softball is 70 and the number of 12-inch softball is 50.

Step-by-step explanation:

Given that,

• The cost of 11-inch softball = $2.50
• The cost of 12-inch softball = $3.50

Let us assume,

• The number of 11-inch softball be 'x'.
• The number of 12-inch softball be 'y'.

Forming the equation to solve x and y values :

• The total number of softball ordered = 120
• The total cost for 120 softballs = $350

x + y = 120  -------(1)

2.5x + 3.5y = 350   --------(2)

Multiply eq(1) by 2.5 and subtract eq(2) from eq(1),

 2.5x +2.5y = 300

-(2.5x +3.5y = 350)

         -1y     =  -50

Therefore the value of y = 50.

The number of 12-inch softball is 50.

Substitute y=50 in eq(1),

x+50 = 120

x = 120-50

x = 70

The number of 11-inch softball is 70.