Answer:
true
True
False
False
Explanation:
a. The problem tells me that for every 3 parts of red paint, I have 8 parts of yellow paint. To find the ratio of 1 part of yellow paint I can write the following statement
For 8 parts of yellow paint ------------ 3 parts of red paint
1 part of yellow paint ------------- x
So
![x=(1 part of yellow paint * 3 parts of red paint )/(8 parts of yellow paint)](https://img.qammunity.org/2020/formulas/mathematics/high-school/167et3y2j4t96043tiq150iq0udcgubr6f.png)
![x= (3)/(8) parts of red paint](https://img.qammunity.org/2020/formulas/mathematics/high-school/5dfmb89plcw5av22a47b5rgsw777gx8rjx.png)
b, I have the following relationship
3 parts of red paint ----- 8 parts of yellow paint
If I multiply the entire expression by 3 I have left
3 * 3 parts of red paint -------- 8 * 3 parts of yellow paint
So
9 parts of red paint ---------- 24 parts of yellow paint
c.I have the same relationship
3 parts of red paint ----- 8 parts of yellow paint
If I multiply the entire expression by 1/2 I have left
3/2 parts of red paint -------- 8/2 parts of yellow paint
So
3/2 parts of red paint ---------- 4 parts of yellow paint
as 3/2 is different from 10, then the approach is false
d. observing the relation of part a,
For 3 parts of red paint ------------ 8 parts of yellow paint
1 part of red paint ------------- x
So
![x=(1 part of red paint * 8 parts of yellow paint )/(3 parts of red paint)](https://img.qammunity.org/2020/formulas/mathematics/high-school/fuvrporacxhehizec6mk8ip9ab8l9z4kmq.png)
that is different than 3/8 parts of yellow paint, then the approach is false