Question

Mrs Tan paid $39 for 4 cups and 3 bowls. Each bowl cost 3 times as much as each cup. How much did she pay for each bowl?​

Answer 1

Answer: Mrs Tan paid $9 for each bowl.

Step-by-step explanation:

Let's first assume the cost of each cup is x, then the cost of each bowl is 3x (since each bowl costs 3 times as much as each cup). According to the problem, Mrs Tan paid $39 for 4 cups and 3 bowls. So we can set up the following equation:

4x + 3(3x) = 39

This simplifies to:

4x + 9x = 39

13x = 39

x = 3

So one cup costs $3.To find out how much each bowl costs, we can simply substitute x = 3 into the expression 3x:

3(3) = 9

So each bowl costs $9.Therefore, Mrs Tan paid $9 for each bowl.

Answer 2

She Paid $9 For Each Bowl

━━━━━━━━━━━━━━━━━━━━━━

ㅤㅤ [ LET :: ]

ㅤ

➔ Cost Of 1 Cup = $x

➔ Cost Of 1 Bowl = $3x

ㅤ

ㅤㅤ [ THEN :: ]

ㅤ

➔ Cost Of 4 Cups = $4x

➔ Cost Of 3 Bowls = $(3×3) = $9x

ㅤ

ㅤㅤ [ ATQ :: ]

ㅤ

`\begin{gathered} \; \; \sf{:\longmapsto{4x + 9x = 39}} \\ \\ \end{gathered}`

`\begin{gathered} \\ \; \; \sf{:\longmapsto{13x = 39}} \\ \\ \end{gathered}`

`\begin{gathered} \\ \; \; \sf{:\longmapsto{x = \cancel{(39)/(13)}}} \\ \\ \end{gathered}`

`\begin{gathered} \\ \; \; :\longmapsto{\underline{\boxed{\orange{\frak{x = 3}}}}} \; \pmb{\bigstar} \\ \\ \end{gathered}`

ㅤ

• Substituting The Value Of (x)

`\begin{gathered} \\ \; \; \dag \; {\underline{\underline{\sf{Cost \; Of \; Each \; Bowl:-}}}} \\ \\ \end{gathered}`

`\begin{gathered} \\ \; \; \sf{:\longmapsto{\${(3 * 3)}}} \\ \\ \end{gathered}`

`\begin{gathered} \\ \; \; :\longmapsto{\underline{\boxed{\frak{ \: \: \: \$ \: {9} \: \: \: }}}} \; \pmb{\red{\bigstar}} \\ \\ \end{gathered}`

`\bf{\pmb{\underline{\rule{170pt}{5pt}}}}`