Brennan is helping blow up green and pink balloons for his sister's birthday party. He decided to blow up an equal number of balloons at 4 separate times, so that he didn't get too tired. He blew up g green balloons and p pink balloons each time.
Pick all the expressions that represent how many balloons Brennan blew up in all.
a. 4+g+p
b. 4(g+p)
c. 4g+4p
d. g(4+p)+p(4-g)
To figure out how many balloons Brennan blew up in all, we need to calculate the total number of times he blew up balloons and multiply that by the number of green and pink balloons he blew up each time.
He blew up balloons 4 separate times, and each time he blew up g green balloons and p pink balloons. To find the total number of balloons, we should add the number of green and pink balloons together and then multiply by 4 (for the 4 separate times he did this). The expressions that correctly represent the total number of balloons Brennan blew up are:
b. 4(g + p) - This expression adds the green and pink balloons together for one round (g + p) and then multiplies by 4 because he did this 4 times.
c. 4g + 4p - This is equivalent to the previous expression and is just the distributive property applied to 4(g + p). It means he blew up 4 times the number of green balloons (4g) and 4 times the number of pink balloons (4p).
The other expressions do not accurately represent the total number of balloons:
a. 4 + g + p - This would mean Brennan blew up 4 balloons plus a number of green and a number of pink balloons without accounting for the fact that he did this 4 times.
d. g(4 + p) + p(4 - g) - This expression is unnecessarily complicated and does not simply multiply the number of each type of balloon by 4. It also introduces subtraction in the second term which does not reflect the scenario described.
So the correct expressions are:
b. 4(g+p)
c. 4g+4p
Can you please pick one
Certainly! Both b. and c. correctly represent the total number of balloons Brennan blew up, but since you asked for one, the most straightforward expression is:
b. 4(g + p)
This expression directly indicates that Brennan blew up the combined number of green and pink balloons (g + p) four separate times.
To find the total number of balloons Brennan blew up in all, we need to add up the number of green balloons and the number of pink balloons for each time he blew up balloons.
Since Brennan blew up an equal number of balloons at 4 separate times, we can represent the number of green balloons he blew up as g, and the number of pink balloons he blew up as p, for each time.
To find the total number of green balloons Brennan blew up, we can multiply the number of green balloons he blew up each time (g) by the number of times he blew up balloons (4). Similarly, to find the total number of pink balloons Brennan blew up, we can multiply the number of pink balloons he blew up each time (p) by the number of times he blew up balloons (4).
Therefore, the expression that represents how many balloons Brennan blew up in all is:
Total = 4g + 4p
So, the correct answer is c) 4g + 4p.