Answer:
![3(y)=1(26)](https://tex.z-dn.net/?f=3%28y%29%3D1%2826%29)
Step-by-step explanation:
Please consider the complete question.
What is the first step that you have to do in order to solve the proportion: one-third equals the fraction y over 26?
We can represent our given information in an equation as:
![\frac{1}{3}=\frac{y}{26}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7By%7D%7B26%7D)
To solve our given equation, we need to cross multiply our equation as:
![3(y)=1(26)](https://tex.z-dn.net/?f=3%28y%29%3D1%2826%29)
Therefore, the 1st step to solve the equation would be
.
55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11.
So what this means is that you want to translate a word problem into an equation of some sort.
For example, if the word problem is:
John has 3 apples and Mike has 4 apples. How many apples do they have together?
The expression would be:
3 + 4 = 7
Let me know if that makes sense to you.
Answer:
x = 12
y = 22
Total amount = $2596
Step-by-step explanation:
First let's find the value of each deposit until the 10th in relation to x and y:
1st: x
2nd: y
3rd: x + y
4th: x + 2y
5th: 2x + 3y
6th: 3x + 5y
7th: 5x + 8y
8th: 8x + 13y
9th: 13x + 21y
10th: 21x + 34y
Now, we can write a system with two equations and two variables:
2x + 3y = 90
21x + 34y = 1000
From the first equation: x = (90 - 3y)/2
Using this value of x in the second equation, we have:
21*(90 - 3y)/2 + 34y = 1000
945 - 31.5y + 34y = 1000
2.5y = 55
y = 22
Now we can find x:
x = (90 - 3*22)/2 = 12
Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596