Math  /  Algebra

QuestionYour local pizza store sells medium pizzas for $7.69\$ 7.69 each, and breadsticks for $3.49\$ 3.49 per order. For a party, you decide to order 5 pizzas and 3 orders of breadsticks. There is a $3\$ 3 delivery fee, and a 9.4%9.4 \% sales tax will be added to the total, including the delivery fee. What will be the total bill after tax, rounded to the nearest cent? $\$ \square Suppose you have a budget of $143.97\$ 143.97 to spend, and you order 14 pizzas. How many orders of breadsticks can you get, assuming the same delivery fee and sales tax? Round your answer to the nearest whole number. \qquad orders of breadsticks
Suppose you have a budget of $306.79\$ 306.79 to spend, and you order 20 orders of breadsticks. How many pizzas can you get, assuming the same delivery fee and sales tax? Round your answer to the nearest whole number. \square pizzas Question Help: Message instructor Post to forum Submit Question

Studdy Solution
To solve for the number of pizzas with a budget of $306.79 and 20 orders of breadsticks:
Cost of 20 orders of breadsticks: 20×$3.49=$69.8020 \times \$3.49 = \$69.80 Remaining budget for pizzas and fees: $306.79$69.80=$236.99\$306.79 - \$69.80 = \$236.99
Let y be the number of pizzas. We can set up the equation: (y×7.69)+(20×3.49)+3+[(y×7.69)+(20×3.49)+3]×0.094=306.79(y \times 7.69) + (20 \times 3.49) + 3 + [(y \times 7.69) + (20 \times 3.49) + 3] \times 0.094 = 306.79
Simplifying: 7.69y+69.80+3+(7.69y+69.80+3)×0.094=306.797.69y + 69.80 + 3 + (7.69y + 69.80 + 3) \times 0.094 = 306.79 7.69y+72.80+0.72286y+6.8412=306.797.69y + 72.80 + 0.72286y + 6.8412 = 306.79 8.41286y+79.6412=306.798.41286y + 79.6412 = 306.79 8.41286y=227.14888.41286y = 227.1488 y=27.00y = 27.00
Rounding to the nearest whole number: 27 pizzas

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