What I did to start with was to find the lowest number that both 12 and 10 could divide into, that number is 60.
I know 60 divided by 12 is 5 and I know that 60 divided by 10 is six.
Then I took 5 and multiplied it by 3 and got 15. I did this step because you need 5 packages of cups and each package cost 3 dollars.
Next I took 6 and multiplied it by 5 and got 30. I did this step because you need 6 packages of plates and each package cost 5 dollars.
You would then take 30 dollars and 15 dollars and add them together to get your total.
The answer is 42 dollars.
1,2,4
24/1 = 24 84/1=84 88/1=88
24/2=12 84/2=42 88/2=44
24/4=6 84/4=21 88/4=22
4
)
10(x+6)+8(x−3)=5(5x−4)
2 Expand.
10
x
+
60
+
8
x
−
24
=
25
x
−
20
10x+60+8x−24=25x−20
3 Simplify
10
x
+
60
+
8
x
−
24
10x+60+8x−24 to
18
x
+
36
18x+36.
18
x
+
36
=
25
x
−
20
18x+36=25x−20
4 Subtract
18
x
18x from both sides.
36
=
25
x
−
20
−
18
x
36=25x−20−18x
5 Simplify
25
x
−
20
−
18
x
25x−20−18x to
7
x
−
20
7x−20.
36
=
7
x
−
20
36=7x−20
6 Add
20
20 to both sides.
36
+
20
=
7
x
36+20=7x
7 Simplify
36
+
20
36+20 to
56
56.
56
=
7
x
56=7x
8 Divide both sides by
7
7.
56
7
=
x
7
56
=x
9 Simplify
56
7
7
56
to
8
8.
8
=
x
8=x
10 Switch sides.
x
=
8
x=8
Your answer is
X=8