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erastova [34]
2 years ago
8

A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, s

alted 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?
Mathematics
1 answer:
WITCHER [35]2 years ago
4 0

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.

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