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Last week, Leon bought 8 pizzas and 13 cakes for a total of $134. Today, Leon bought 28 pizzas and 4 cakes for a total of $220. Assuming neither item has changed in price, what is the cost of a pizza in
asked
Feb 9, 2023
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Last week, Leon bought 8 pizzas and 13 cakes
for a total of $134.
Today, Leon bought 28 pizzas and 4 cakes for a
total of $220.
Assuming neither item has changed in price,
what is the cost of a pizza in dollars?
Mathematics
high-school
LeBaptiste
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p = pizza and c =cakes
Last week: 8p + 13c = 134
Today: 28p + 4c = 220
Let’s take the formula for today and subtract 28p from each side to isolate the 4c.
4c = 220 - 28p
Now divide each side by 4
c = (220 - 28p)/4
Simplify to c = 55 - 7p
Now go to the formula for last week, substitute the c for 55-7p
8p + 13(55 - 7p) = 134
8p + 715 - 91p = 134
Simplify to 715 - 83p = 134
Let’s add 83p to each side.
715 = 134 + 83p
Subtract 134 from each side
581 = 83p
Divide each side by 83
p = $7
HarryCBurn
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Feb 15, 2023
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HarryCBurn
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