there are 30 buttons in a jar. five of the 12 plastic buttons are small. seven of the metal buttons are…
there are 30 buttons in a jar. five of the 12 plastic buttons are small. seven of the metal buttons are large. which two - way table is correct?
Answer
Answer:
The correct two - way table is:
| Small | Large | Total | |
|---|---|---|---|
| Plastic | 5 | 7 | 12 |
| Metal | 11 | 7 | 18 |
| Total | 16 | 14 | 30 |
Explanation:
Step1: Calculate number of large plastic buttons
We know there are 12 plastic buttons and 5 are small. So number of large plastic buttons is $12 - 5=7$.
Step2: Calculate number of metal buttons
Total buttons are 30 and plastic buttons are 12, so metal buttons are $30 - 12 = 18$.
Step3: Calculate number of small metal buttons
There are 7 large metal buttons and 18 metal buttons in total. So small metal buttons are $18 - 7=11$.
Step4: Calculate total small and large buttons
Total small buttons are $5 + 11=16$. Total large buttons are $7+7 = 14$. And total buttons are 30 which is consistent with the given information.