Math Word problem

Question

Debra, Kareem, and Ahmad sent a total of 133 text messages over their cell phones during the weekend. Debra sent 5 more messages than Kareem. Ahmad sent 4 times as many messages as Debra. How many messages did they each send?

Answer 1

So to begin, you need for form equations based upon the information give,

Let Debra=D, Kareem=K, and Ahmad= A.

We are given that the three sent a total of 133 texts over the weekend.

Eq 1: D+K+A= 133

Next, we are given that Debra sent 5 more messages than Kareem"

Eq 2: D= K+5

And lastly, Ahmad sent four times as many texts as Debra.

Eq 3: A= 4D

which can also be written as:

Eq 4: A=4(K+5)= 4K+20

So, now we can substitute into Eq 2 and Eq 4 into Eq 1:

(K+5)+K+(4K+20)=133

6K+25=133

6K=108

K=18

From here, you just substitute 18 for K in Equation 2 and 4.