1) Ben had three times as many nickels as dimes. If the total value of his coins was $1, how many of each kind of coin did he ha
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<em>Question:</em>
<em>Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.</em>
Answer:
Step-by-step explanation:
Given
------ at least
Required
Represent as an inequality
"at least" means
So the countries he has visited can be represented as thus;
If
1 year = 5 countries
y years would be 5y countries
So, in y years; he'd have visited
To determine the value of y.
We have that
<em>in the world</em>
<em>Substitute 195 for Countries</em>
<em>Collect Like Terms</em>
<em>Divide through by 5</em>
<em>Reorder</em>
This means that; he'll visit all countries in at most 29 years' time
For the units positions of all numbers we have:
From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:
For the tens positions of all numbers we have:
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
Now we insert x and z to find out y:
Now we need to find out the product of these three numbers:
From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:
For the tens positions of all numbers we have:
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
Now we insert x and z to find out y:
Now we need to find out the product of these three numbers: