Justin and david were comparing text messages. for every 8 messages justin sent, david sent 12 messages. together justin and david have sent 450 messages last month. how many messages did each person send?

The number of messages sent by Justin was

The number of messages sent by David was

Step-by-step explanation:

Let

x-----> number of messages sent by Justin

y----> number of messages sent by David

we know that

----> equation A

-----> equation B

substitute equation A in equation B and solve for y

Find the value of x

therefore

The number of messages sent by Justin was

The number of messages sent by David was

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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