Expand
4x - 28 = 0.3x + 0.6 + 2.11
Simplify 0.3x + 0.6 + 2.11 to 0.3x + 2.71
4x - 28 = 0.3x + 2.71
Add 28 to both sides
4x = 0.3x + 2.71 + 28
Simplify 0.3x + 2.71 + 28 to 0.3x + 30.71
4x = 0.3x + 30.71
Subtract 0.3x from both sides
4x - 0.3x = 30.71
Simplify 4x - 0.3x to 3.7x
3.7x = 30.71
Divide both sides by 3.7
x = 30.71/3.7
Simplify 30.71/3.7 to 8.3
<u>x = 8.3</u>
Answer:
The total change is £21.02 from the original amount of £78.98. Therefore, the percentage change is directly related to the original amount.
Divide the total change by the original amount to determine the percentage change the new amount represents.
21.02÷78.98=0.15219 which rounds up to two decimal places as 15.22%.
Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds
Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II
Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
24 - 4y + 3.5y = 22
24-22 = 4y-3.5y
2 = 0.5y
y = 4 pounds
Substitute with y in equation I to get the value of x as follows:
x = 6-y
x = 6-4
x = 2 pounds
Hope this helps :)
