radazharula1
14.09.2019 •
Mathematics
Aconcession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. ice cream cones were sold for $3.00, salted pretzels were sold for $2.50, and tacos were sold for $2.00. the total number of ice cream cones, salted pretzels, and tacos sold was 140, and the total amount of money from these items was $359.50. if $70.00 was made just from selling tacos, how many salted pretzels were sold?
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Ответ:
51 salted pretzels were sold.
Step-by-step explanation:
Step 1: Write the data
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
Step 1: Make equation 1
Total money made: $359.5
Money made from tacos: $70
Money made from ice cream cones and salted pretzels: 359.5-70 = $289.5
Equation 1:
3x + 2.5y = 289.5
Step 3: Make equation 2
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
Equation 2:
x + y = 105
Step 4: Find the unknown value by substitution
3x + 2.5y = 289.5
x + y = 105
Find x in terms of y from equation 2
x + y = 105
x = 105 - y
Substitute x in equation 1
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.
Ответ: