Answer:
There 24 pieces of Apples in the bag of dry fruit.
Step-by-step explanation:
Let the total number of dried fruit bought be 'x'.
Given:
1/4 of the dried fruit is cherries.
Hence Number of cherries = ![\frac{1}{4}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx)
Also Given:
2/3 of the remainder is pears.
Hence we can say Number of pears is equal to 2/3 times Total number of dried fruit minus Number of cherries.
Framing the equation we get;
Number of Pears = ![\frac{2}{3} (x-\frac{1}{4}x) = \frac{2}{3} x- \frac{2}{12}x= \frac{2}{3} x- \frac{1}{6}x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%28x-%5Cfrac%7B1%7D%7B4%7Dx%29%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20x-%20%5Cfrac%7B2%7D%7B12%7Dx%3D%20%5Cfrac%7B2%7D%7B3%7D%20x-%20%5Cfrac%7B1%7D%7B6%7Dx)
But Given:
Number of Pears = 48
Substituting the values we get;
![\frac{2}{3} x- \frac{1}{6}x= 48\\](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20x-%20%5Cfrac%7B1%7D%7B6%7Dx%3D%2048%5C%5C)
By taking L.C.M we get;
![\frac{2\times2}{3\times 2} x- \frac{1\times1}{6\times1}x= 48\\\\\frac{4}{6} x- \frac{1}{6}x= 48\\\\\frac{4x-x}{6}=48\\\\\frac{3x}{6}=48\\\\\frac{x}{2}=48\\\\x= 48\times2= 96](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Ctimes2%7D%7B3%5Ctimes%202%7D%20x-%20%5Cfrac%7B1%5Ctimes1%7D%7B6%5Ctimes1%7Dx%3D%2048%5C%5C%5C%5C%5Cfrac%7B4%7D%7B6%7D%20x-%20%5Cfrac%7B1%7D%7B6%7Dx%3D%2048%5C%5C%5C%5C%5Cfrac%7B4x-x%7D%7B6%7D%3D48%5C%5C%5C%5C%5Cfrac%7B3x%7D%7B6%7D%3D48%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B2%7D%3D48%5C%5C%5C%5Cx%3D%2048%5Ctimes2%3D%2096)
Hence Total Number of Dry fruit = 96 pieces.
Number of cherries = ![\frac{1}{4}x=\frac{1}{4} \times 96 = 24](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%3D%5Cfrac%7B1%7D%7B4%7D%20%5Ctimes%2096%20%3D%2024)
Now We need to find the Number of Pieces of Apples.
We know that Total Number of Pieces of dried fruit is equal to sum of Number of cherries and Number of Pears and Number of Apples.
Framing Equation we get
Number of Pieces of Apples= Total Number of Pieces of dried fruit - Number of cherries - Number of Pears = 96-48-24 =24 pieces
Hence There 24 pieces of Apples in the bag of dry fruit.
Answer:
$3.4
Step-by-step explanation:
Total amount spent by Mila equals $71.05
She bought 5 yards of fabric at $12.85 per yard. Hence, the total amount she spent on fabric is 12.85 × 5 = $64.25
It should be noted that since she bought only 2 kinds of things, this mean that Amount spent of fabric + Amount spent on thread = $71.05
Amount spent on thread = $71.05 - Amount spent on fabrics.
Amount spent on thread = $71.05 - $64.25 = $6.8
This is the total amount spent on thread.
But the question asks amount spent on one spool of thread. Since 2 spools would cost $6.8, one spool would cost $6.8 ÷ 2 = $3.4
Answer:
x = -2, y = 2
Step-by-step explanation:
-7x + 7y = 28
7y = 28 + 7x
y = 4 + x ----(1)
-8x+4y=24 -----(2)
sub (1) into (2)
-8x+4(4+x)=24
-8x+16+4x = 24
-8x+4x = 24-16
-4x = 8
x = -2
sub x = -2 into (1)
y=4+(-2) = 2
Answer:
8
Step-by-step explanation:
Remember: Keep, Change, Flip
keep 4 the same, change the division to multiplication, and flip the fraction from 1/2 to 2
4 x 2=8