Question

BRAINLIESTTT ASAP!!! PLEASE HELP ME :)

Answer 1

Answer:

$\large \boxed{w = 24; t = 8; h = 12}$

Step-by-step explanation:

Your system of three equations is

$\begin{array}{lcl}(1)\qquad w & = & 2h\\(2) \qquad t & = & h - 4\\(3) \qquad 3w + 2h + 5t & = & 136\\ \end{array}$

Solution

(i) Solve for h

Substitute (1) and (2) into (3)

$\begin{array}{rcr}3w + 2h + 5t & = & 136\\3(2h) + 2h + 5(h - 4) & = & 136\\6h + 2h + 5h - 20 & = & 136\\13h - 20& = & 136\\13h & = & 156\\h& = & \mathbf{12}\\\end{array}$

(ii) Solve for w

Substitute the value of h into (1)

w = 2h = 2(12) = 24

(iii) Solve for t

Substitute the value of h into (2)

t = h - 4 = 12 - 4 = 8

$\text{The solution to the system of equations is \large \boxed{\mathbf{w = 24; t = 8; h = 12}} }$

Check:

$\begin{array}{ccc}w = 2h & \qquad t = h - 4 \qquad & 3w + 2h + 5t = 136\\24 = 2(12) & 8 = 12 - 4 & 3(24) + 2(12) + 5(8) = 136\\24 = 24 & 8 = 8 & 72 + 24 + 40 = 136\\& & 136 = 136\\\end{array}$

OK

Answer 2

Answer:

pair of shorts --> $12

sweatshirt --> $24

T-shirt --> $8

Step-by-step explanation:

2 * pair of shorts (p) = sweatshirt (s) -->  2p = s

pair of shorts (p) - $4 = T-shirt (t)  -->  p - 4 = t

3(2p) + 2p + 5(p-4) = $136

___________________________

3(2p) + 2p + 5(p-4) = $136

6p + 2p + 5p - 20 = $136

13p - 20 = $136

13p = $156

p = 12

So a pair of shorts costs $12.

__________________________

2p = s

2(12) = s

24 = s

So a sweatshirt costs $24.

__________________________

p - 4 = t

12 - 4 = t

8 = t

So a T-shirt costs $8.

Reference:

http://fhsdfhhs.sharpschool.net/UserFiles/Servers/Server_999044/File/Staff%20Directory/Math/Miller,%20J/HonorsA2%20Chap%203%20Rev%20Keys0001.pdf

HOPE THIS HELPS!!!