Question

The ratio of turnips to tomatoes in a farm is 1:1.5. if there are 470 turnips in the farm, calculate the number of tomatoes

Answer 1

Answer:

705

Step-by-step explanation:

As per the provided information in the given question, we have:

• The ratio of turnips to tomatoes in a farm is 1:1.5.
• Total number of turnips = 470

Let us suppose the number of turnips in the field as 1x and the number of tomatoes in the field as 1.5x.

― Now, according to the question, the total number of turnips in the field is 470. According to our assumption,

$\twoheadrightarrow \sf{\quad { Number_{(Turnips)} = 1x}}$

Here, the number of turnips in the field is 470, so we can equate the two statements.

$\twoheadrightarrow \sf{\quad {470 = x}}$

We've calculated the value of x that is 470. As we have assumed that the number of tomatoes in the field as 1.5x. Thus, writing it in the form of an equation.

$\twoheadrightarrow \sf{\quad { Number_{(Tomatoes)} = 1.5x}}$

Substitute the value of x in order to perform multiplication.

$\twoheadrightarrow \sf{\quad { Number_{(Tomatoes)} = 1.5(470)}}$

Performing multiplication of terms to calculate calculate the number of tomatoes in the field.

$\twoheadrightarrow \quad \underline{\boxed { \pmb{\frak{Number}}_ {\pmb{\frak{(Tomatoes)}}} = \pmb{\frak{705}} }}$

❝ Therefore, the number of tomatoes in the field is 705. ❞

Answer 2

Given Information:

• The ratio of turnips to tomatoes in a farm is 1:1.5.
• Number of Turnips in the farm is 470.

Need to Find:

• Number of tomatoes in the farm.

Solution:

Let us assume the number of turnips and tomatoes in the field be x and 1.5x respectively.

$\underline{\large\textsf{According to the question :}}$

$\: \: \: \:\: \: \: \:\longrightarrow\sf{Number\: of\: turnips=x}$

Here, we are given that the number of turnips are 470. Equating it's value,

$\: \: \: \:\: \: \: \:\longrightarrow\sf{470=x}$

So, We have found the value of x that is 470. According to our assumption the number of tomatoes in the field is 1.5x. So,

$\: \: \: \:\: \: \: \:\longrightarrow\sf{Number\: of\: tomatoes=1.5x}$

Substituting value of x as 470,

$\: \: \: \:\: \: \: \:\longrightarrow\sf{Number\: of\: tomatoes=1.5\times 470}$

$\: \: \: \:\: \: \: \:\longrightarrow\bold{Number\: of\: tomatoes=705}$

Required Answer:

$\: \: \: \: \: \leadsto$ Number of tomatoes in the field is 705.