if
and
, the value of PARKS would be 33.
The given information suggests that each letter contributes a certain value to the overall score of the word. We can interpret this as a numerical value assigned to each letter, and the score of a word is the sum of the values of its letters.
Let's use the given alphabet and corresponding values to find the values for the letters in the provided words (BAR, GIG, SAD):
![\[ \text{a} + \text{b} + \text{r} = 30 \]](https://img.qammunity.org/2024/formulas/engineering/college/d6vdq7o5a7fvinmtttc1r4eyz1ijwi5460.png)
![\[ \text{g} + \text{i} + \text{g} = 32 \]](https://img.qammunity.org/2024/formulas/engineering/college/pf9mn2yoiqa3swdz693z2xr2szcty44nef.png)
![\[ \text{s} + \text{a} + \text{d} = 33 \]](https://img.qammunity.org/2024/formulas/engineering/college/ck3k4j5ox882jsbadkmlnm27yeitfc9uls.png)
Using the provided alphabet values, we can solve for the values of individual letters:
![\[ \text{b} = 30 - \text{a} - \text{r} \]](https://img.qammunity.org/2024/formulas/engineering/college/9c5pc4kzyevijugat74ojftlyvddy4dypn.png)
![\[ \text{i} = \frac{32 - \text{g}}{2} \]](https://img.qammunity.org/2024/formulas/engineering/college/zp8srnrhtk1iregl2thkb3119xmhsh3i6n.png)
![\[ \text{d} = 33 - \text{s} - \text{a} \]](https://img.qammunity.org/2024/formulas/engineering/college/j38uyuwbavj3hhx6yt1u5887qcqo3mj86m.png)
Now, let's apply these values to the word PARKS:
![\[ \text{p} + \text{a} + \text{r} + \text{k} + \text{s} = \text{p} + \text{a} + (30 - \text{a} - \text{r}) + \text{k} + (33 - \text{s} - \text{a}) \]](https://img.qammunity.org/2024/formulas/engineering/college/xgkcna9gt9z5pewwv0domg6wtmmfmnpo9r.png)
Combine like terms:
![\[ \text{p} + \text{r} + \text{k} + \text{s} = 63 - \text{a} - \text{s} \]](https://img.qammunity.org/2024/formulas/engineering/college/61l59qcm6jvv8yz1fss56ehat3esptlb34.png)
Now, let's choose values for
and
that satisfy the conditions:
Let's say
and
.
![\[ \text{p} + \text{r} + \text{k} + \text{s} = 63 - 10 - 20 = 33 \]](https://img.qammunity.org/2024/formulas/engineering/college/oc495hlk97onellyrsm2dab535y2epkhaq.png)
So, if
and
, the value of PARKS would be 33. Keep in mind that there may be multiple valid solutions for the assigned values to the letters.
Question; Trent creates a word puzzle for his friends to solve. If BAR = 30, GIG = 32, and SAD = 33 What is the value of PARKS? The alphabet is given below to help you a b c defghijklmnopqrstuvwryz 0 0 0 0 0 0