When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
The last statement is NOT true.
1/2 divided by 4 is 0.125 and 1/2 times 4/1 is 2
Hope I helped!
Answer:
14
Step-by-step explanation:
I first multiplied 490 by 3/7
giving me 1470/7
I divide 1470 by 7 giving me 210
As I got 210
I multiplied 210 with 2 and got 410/3
I divided 410 by 3, getting 140.
It then said half of what was delivered was put into 5 pound bags, so
140× 1/2 or 140÷2 is 70
70 divided by 5 is 14
They made 14 5-pound bags.
