Pregunta
13 Jay ate
of a pepperoni pizza. Darrell ate
of
mushroom pizza. If the pizza pans are the same
size, who ate a greater fraction of a whole pizz
mushroom pizza. If the pizza pans are the same
size, who ate a greater fraction of a whole pizz
Ask by Black Gonzalez. in the United States
Jan 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
If
, Jay ate more. If
, Darrell ate more. If
, they ate the same amount.
Solución
To determine who ate a greater fraction of a whole pizza, let’s compare the amounts each person consumed.
- Jay ate
of a pepperoni pizza. - Darrell ate
of a mushroom pizza.
Since both pizzas are the same size, we can directly compare the fractions
and
.
Comparing the Fractions
-
When
: -
- Jay ate a larger fraction of the pizza.
-
-
When
: -
- Darrell ate a larger fraction of the pizza.
-
-
When
: -
- Both Jay and Darrell ate the same fraction of the pizza.
-
Summary
- Jay consumes more if and only if
. - Darrell consumes more if and only if
. - They consume the same amount when
.
Without knowing the specific value of
, we can’t definitively say who ate more. However, the comparison depends on whether
is greater than, less than, or equal to 3.
Answer:
After simplifying, Jay ate more when a is larger than 3, Darrell ate more when a is less than 3, and they ate the same when a equals 3. Thus:
• If a > 3, Jay ate a greater fraction;
• If a < 3, Darrell ate a greater fraction;
• If a = 3, both ate the same fraction.
After simplifying, Jay ate more when a is larger than 3, Darrell ate more when a is less than 3, and they ate the same when a equals 3. Thus:
• If a > 3, Jay ate a greater fraction;
• If a < 3, Darrell ate a greater fraction;
• If a = 3, both ate the same fraction.
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Bonus Knowledge
To determine who consumed a larger fraction of pizza, we can compare Jay’s fraction,
, with Darrell’s
. We know that
when
. If
equals 3 or greater, Darrell eats equal to or less than the fraction that Jay consumed. So, if
, Jay wins the pizza battle; otherwise, we’re cheering for Darrell!
For a quick taste of mathematical applications, fractions like these pop up everywhere—from recipes to splitting up goodies! When planning a pizza party, knowing how to work with fractions helps ensure that every slice is accounted for, so nobody feels shortchanged. Just be cautious to double-check those denominators to avoid any slice mishaps!

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