<span>Since the number of nail boxes is 6 less than the number of yards of wood, the right expression to use is x-6. (x being the number of yards of wood)
Now let us calculate the number of nail boxes she bought.
Cost of x yards of wood at $27 per yard = 27x.
Cost of x-6 boxes of nails at $4 per box = 4(x-6) = 4x - 24
Therefore 27x +4x - 24 = 193
31x -24 = 193
31x = 193 + 24
31x = 217
x = 217/31
= 7
So she bought 7 yards of wood and 7-6 boxes of nail. That is, she bought only one box of nail.</span>
7-6a=6-7a
+7a on both sides gives you
7-X= 6
Subtract 7 from both sides
-X= -1
Add the negative sign in front of the x to the -1
X= --1
This will end up to be
x= 1
Answer: C
Step-by-step explanation:
This one is extremely simple, and we can use the color coded pie chart to find the cost of each of the 5 things.
For the first, decorations, Mary spent $?? as shown by the blue triangle on the pie chart. Let’s get the other ones first to total the money left over.
For the second, she spent $65 on food, as shown by the green triangle on the pie chart.
For the third, she spent $80 on party hall rental, as shown by the blue triangle on the pie chart.
For the fourth, she spent $30 on prizes, as shown by the dark blue triangle.
And for the fifth one, she spent $45 on invitations. A bit too expensive if you ask me.
Then we add all the costs together, and get 220. After adding the extra costs such as candy, costumes, and music, we get a total of $345. We would subtract this from $375 to get a total of $30 left over, which was spent on decorations. The ??? value of the light blue triangle is $30.
Hope this helps!