QuestionEmmet grew 42 plants with 14 seed packets. How many plants can he grow with 16 seed packets? Use unit rates to solve.

Studdy Solution

STEP 1

Assumptions1. Emmet grew42 plants with14 seed packets. The number of plants grown is directly proportional to the number of seed packets3. With16 seed packets, we need to find out how many plants Emmet can grow

STEP 2

First, we need to find the unit rate of plants grown per seed packet. We can do this by dividing the total number of plants by the total number of seed packets.
$Unit\, rate = \frac{Total\, plants}{Total\, seed\, packets}$

STEP 3

Now, plug in the given values for the total plants and total seed packets to calculate the unit rate.
$Unit\, rate = \frac{42\, plants}{14\, seed\, packets}$

STEP 4

Calculate the unit rate.
$Unit\, rate = \frac{42\, plants}{14\, seed\, packets} =3\, plants/seed\, packet$

STEP 5

Now that we have the unit rate, we can find out how many plants Emmet can grow with16 seed packets. This can be done by multiplying the unit rate by the number of seed packets.
$Total\, plants = Unit\, rate \times Number\, of\, seed\, packets$

STEP 6

Plug in the values for the unit rate and the number of seed packets to calculate the total plants.
$Total\, plants =3\, plants/seed\, packet \times16\, seed\, packets$

STEP 7

Calculate the total number of plants Emmet can grow with16 seed packets.
$Total\, plants =3\, plants/seed\, packet \times16\, seed\, packets =48\, plants$ Emmet can grow48 plants with16 seed packets.

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