Answer: 48 sweets
Step-by-step explanation:
Let the total number of sweets be X
Thereforee, 5X/11 + 6X/11 = X.
When Sarah ate 16 sweets, the ratio of sweets left is 1 : 2.
[(5X/11) - 16] / [6X/11] = 1/2.
Cross multiply,
10X/11 - 32 = 6X/11
10X/11 - 6X/11 = 32
4X/11 = 32
4X = 32 × 11
4X = 352
X = 352/4
X = 88
therefore, sarah = 5X/11
= (5 × 88) ÷ 11 = 440/11 = 40
Henry = 6X/11
= (6 × 88) ÷ 11
= 48
Therefore, the original ratio was:
5 : 6 = 40 : 48
Sarah ate 16 sweets, her balance is:
40 – 16 = 24
Sarah : Henry = 24:48 = 1:2
Henry has 48 sweets.
Try to see if you can turn them into decimal to make is easier
Answer:
at 10 % amount will be $26300
at 6 % amount will be $52600
Step-by-step explanation:
given data
rate r1 = 6%
rate r2 = 10 %
interest = $5786
to find out
How much he invest
solution
we know man save at rate 6% and 10 %
and get interest $5786
so we consider invest amount at 10% = x
and so invest amount at 6% = 2x
so interest equation will be
0.10(x) + 0.06(2x) = 5786
0.10 x + 0.12x = 5786
0.22 x = 5786
x = 26300
so
at 10 % amount will be $26300
at 6 % amount will be $52600
2/8 or 25% or 0.25
Hope this helps! Good luck! :))
Answer:
The correct option is B.
Step-by-step explanation:
Elijah drew a triangle that has one side longer than the other two.
Now, we know that the length of a side of a triangle is always less than the total length of the other two sides of the triangle.
Therefore, the correct option that we have to choose will be B.
That gives, 'the sum of the two shorter side lengths must be greater than the length of the longest side'.