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Answer :
To translate the given sentence "114 is the product of 6 and Jenny's savings" into an equation, we can follow these steps:
1. Identify the key parts of the sentence:
- "114" is the result or the product.
- "6" is a factor or multiplier.
- "Jenny's savings" is what we are trying to find, so we will use the variable [tex]\( j \)[/tex] to represent it.
2. Translate the sentence into a mathematical equation:
- The word "is" typically translates to the equal sign [tex]\( = \)[/tex].
- "The product of" means multiplication.
Putting it all together, we have:
[tex]\[
114 = 6 \times j
\][/tex]
3. Solve this equation for [tex]\( j \)[/tex] (Jenny's savings):
- To find [tex]\( j \)[/tex], divide both sides of the equation by 6 to isolate [tex]\( j \)[/tex]:
[tex]\[
j = \frac{114}{6}
\][/tex]
4. Calculate the value:
- When you divide 114 by 6, you get [tex]\( j = 19 \)[/tex].
Therefore, Jenny's savings is [tex]\( j = 19 \)[/tex].
1. Identify the key parts of the sentence:
- "114" is the result or the product.
- "6" is a factor or multiplier.
- "Jenny's savings" is what we are trying to find, so we will use the variable [tex]\( j \)[/tex] to represent it.
2. Translate the sentence into a mathematical equation:
- The word "is" typically translates to the equal sign [tex]\( = \)[/tex].
- "The product of" means multiplication.
Putting it all together, we have:
[tex]\[
114 = 6 \times j
\][/tex]
3. Solve this equation for [tex]\( j \)[/tex] (Jenny's savings):
- To find [tex]\( j \)[/tex], divide both sides of the equation by 6 to isolate [tex]\( j \)[/tex]:
[tex]\[
j = \frac{114}{6}
\][/tex]
4. Calculate the value:
- When you divide 114 by 6, you get [tex]\( j = 19 \)[/tex].
Therefore, Jenny's savings is [tex]\( j = 19 \)[/tex].
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