Gregg has q quarters and p pennies. His brother has 4 times as many quarters and 8 times as many pennies as gregg has. Write the sum of the numbers of coins they have, and then combine like terms
q + p + 4q + 8p
5q + 9p
134
134
To write the sum of the numbers of coins Gregg and his brother have, we first need to determine the number of quarters and pennies each of them have.
Given that Gregg has q quarters and p pennies, we can write the number of coins Gregg has as q quarters + p pennies.
Gregg's brother has 4 times as many quarters as Gregg, so the number of quarters his brother has is 4 * q quarters.
Similarly, his brother has 8 times as many pennies as Gregg, so the number of pennies his brother has is 8 * p pennies.
Therefore, the number of coins Gregg's brother has can be written as 4q quarters + 8p pennies.
Now, to find the sum of the numbers of coins they have, we add the number of coins Gregg has to the number of coins his brother has:
(q quarters + p pennies) + (4q quarters + 8p pennies)
To combine like terms, we add the number of quarters and the number of pennies separately:
(q + 4q) quarters + (p + 8p) pennies
Simplifying further:
5q quarters + 9p pennies
So, the sum of the numbers of coins Gregg and his brother have is 5q quarters + 9p pennies.
q+ p+ 4q + 8p
5q +9p
125+9
1.34