Algerbra problem confusion, please help??
Giordano’s Pizza Shop is famous for its spectacular Giordano’s Giant, a large gourmet pizza that’s big enough to feed 16 people! There is a base charge for the plain pizza, and then an additional charge per topping ordered from the list of 20 possible items. All the toppings are priced equally.
A Giordano’s Giant pizza ordered with 2/5 of the possible toppings will cost $46.50. One with 30% of the possible toppings will cost $41.80. Using that information, answer the following questions:
Find an equation that expresses the total cost of a Giordano’s Giant pizza in terms of the number of toppings ordered.
How much would a Giant pizza with all the possible toppings cost?
If a customer ordered a Giant pizza that cost $55.90, what percent of the toppings did she order?
i’m only an 8th grader , please help.
2/5 of 20 possible toppings is 8 toppings.
30% of 20 possible toppings is 6 toppings.
The difference between the two pizza prices is 46.50-41.80, or $4.70. This is the difference between a pizza with 8 toppings vs. 6, or the price difference for two toppings.
So, each topping costs half of that, or $2.35.
Take one of the pizza prices, and subtract the extra topping prices to get the price of a plain pizza. $41.80 – 6(2.35)
= $27.70
The total cost of a pizza is plain_price + number_of_toppings * topping_price, or total = $27.70 + n($2.35) (where n is the number-of-toppings)
A pizza with all of the toppings would cost $27.70 + 20($2.35) = $74.70
For the $55.90 pizza, take the $55.90 and subtract the price of a plain pizza, to see how much the $55.90 pizza’s toppings cost:
55.90-27.70 = $28.20 in toppings. (Wow that’s expensive!)
Divide the toppings price by the price-per-topping to find out how many there were: 28.20/2.35 = 12.
12 toppings out of 20 means 12 / 20 = 0.6, or 60%
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