Answer:
51 salted pretzels were sold.
Step-by-step explanation:
<u>Step 1: Write the data</u>
Number of Ice cream cones sold: x
Cost of ice cream cones sold: 3x
Number of Salted pretzels sold: y
Cost of salted pretzels sold: 2.5y
Number of tacos sold: z
Cost of tacos sold: 2z
<u>Step 1: Make equation 1</u>
Total money made: $359.5
Money made from tacos: $70
Money made from ice cream cones and salted pretzels: 359.5-70 = $289.5
<em>Equation 1:</em>
3x + 2.5y = 289.5
<u>Step 3: Make equation 2</u>
Cost per tacos: $2
Total number of tacos sold: z
Money made from total tacos: $70
2z = 70
z = 35 tacos were sold
Total number of ice cream cones and salted pretzels sold: 140-35 = 105
<em>Equation 2: </em>
x + y = 105
<u>Step 4: Find the unknown value by substitution</u>
3x + 2.5y = 289.5
x + y = 105
<em>Find x in terms of y from equation 2</em>
x + y = 105
x = 105 - y
<em>Substitute x in equation 1</em>
3x + 2.5y = 289.5
3(105-y) + 2.5y = 289.5
315 - 3y + 2.5y = 289.5
0.5y = 25.5
y = 51
y represents the number of salted pretzels sold. Therefore, 51 salted pretzels were sold.
