Solved on Nov 07, 2023

Find the number of jumpers in Jacob's wardrobe given the ratio of T-shirts to jumpers is $8: 7$ and there are 24 T-shirts.

STEP 1

Assumptions1. The ratio of-shirts to jumpers in Jacob's wardrobe is87. There are24-shirts in his wardrobe

STEP 2

First, we need to understand the concept of ratio. A ratio is a way of comparing or relating one quantity to another. In this case, the ratio of-shirts to jumpers is87, which means for every8-shirts, there are7 jumpers.

STEP 3

To find the number of jumpers, we need to set up a proportion based on the given ratio and the number of-shirts. The proportion can be set up as follows $\frac{T-shirts}{Jumpers} = \frac{8}{7}$

STEP 4

Substitute the known value of-shirts into the proportion. We know that there are24-shirts.
$\frac{24}{Jumpers} = \frac{8}{7}$

STEP 5

To solve for the unknown (Jumpers), we can cross-multiply.
$24 \times7 =8 \times Jumpers$

STEP 6

olve the equation for Jumpers.
$Jumpers = \frac{24 \times}{8}$

STEP 7

Calculate the number of jumpers.
$Jumpers = \frac{24 \times7}{} =21$ So, there are21 jumpers in Jacob's wardrobe.

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Find the number of jumpers in Jacob's wardrobe given the ratio of T-shirts to jumpers is $8: 7$ and there are 24 T-shirts.

STEP 1

Assumptions1. The ratio of-shirts to jumpers in Jacob's wardrobe is87. There are24-shirts in his wardrobe

STEP 2

First, we need to understand the concept of ratio. A ratio is a way of comparing or relating one quantity to another. In this case, the ratio of-shirts to jumpers is87, which means for every8-shirts, there are7 jumpers.

STEP 3

To find the number of jumpers, we need to set up a proportion based on the given ratio and the number of-shirts. The proportion can be set up as follows $\frac{T-shirts}{Jumpers} = \frac{8}{7}$

STEP 4

Substitute the known value of-shirts into the proportion. We know that there are24-shirts.
$\frac{24}{Jumpers} = \frac{8}{7}$

STEP 5

To solve for the unknown (Jumpers), we can cross-multiply.
$24 \times7 =8 \times Jumpers$

STEP 6

olve the equation for Jumpers.
$Jumpers = \frac{24 \times}{8}$

STEP 7

Calculate the number of jumpers.
$Jumpers = \frac{24 \times7}{} =21$ So, there are21 jumpers in Jacob's wardrobe.

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Find the number of jumpers in Jacob's wardrobe given the ratio of T-shirts to jumpers is 8:78: 78:7 and there are 24 T-shirts.

STEP 1

Assumptions1. The ratio of-shirts to jumpers in Jacob's wardrobe is87. There are24-shirts in his wardrobe

STEP 2

First, we need to understand the concept of ratio. A ratio is a way of comparing or relating one quantity to another. In this case, the ratio of-shirts to jumpers is87, which means for every8-shirts, there are7 jumpers.

STEP 3

To find the number of jumpers, we need to set up a proportion based on the given ratio and the number of-shirts. The proportion can be set up as followsT−shirtsJumpers=87\frac{T-shirts}{Jumpers} = \frac{8}{7}JumpersT−shirts​=78​

STEP 4

Substitute the known value of-shirts into the proportion. We know that there are24-shirts.24Jumpers=87\frac{24}{Jumpers} = \frac{8}{7}Jumpers24​=78​

STEP 5

To solve for the unknown (Jumpers), we can cross-multiply.24×7=8×Jumpers24 \times7 =8 \times Jumpers24×7=8×Jumpers

STEP 6

olve the equation for Jumpers.Jumpers=24×8Jumpers = \frac{24 \times}{8}Jumpers=824×​

STEP 7

Calculate the number of jumpers.Jumpers=24×7=21Jumpers = \frac{24 \times7}{} =21Jumpers=24×7​=21So, there are21 jumpers in Jacob's wardrobe.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the number of jumpers in Jacob's wardrobe given the ratio of T-shirts to jumpers is $8: 7$ and there are 24 T-shirts.

To find the number of jumpers, we need to set up a proportion based on the given ratio and the number of-shirts. The proportion can be set up as follows $\frac{T-shirts}{Jumpers} = \frac{8}{7}$

Substitute the known value of-shirts into the proportion. We know that there are24-shirts.
$\frac{24}{Jumpers} = \frac{8}{7}$

To solve for the unknown (Jumpers), we can cross-multiply.
$24 \times7 =8 \times Jumpers$

olve the equation for Jumpers.
$Jumpers = \frac{24 \times}{8}$

Calculate the number of jumpers.
$Jumpers = \frac{24 \times7}{} =21$ So, there are21 jumpers in Jacob's wardrobe.