Icannot spend more than $35 at the school book fair posters are $5 how many books could i buy if they are & 6.50 each

Given  

I cannot spend more than $35

school book fair posters are $5

book cost is $ 6.50 each

Find out how many books i buy.

To proof

let the number of books buy = x

As given in question the money spend in school book fair is not more than $35.

Cost of posters = $5

i.e the money spend in buying poster = $5

cost of each book = $6.50

thus the equation becomes

put these all the values in the above equation

we get

5 + 6.50x ≤ 35

Now

First put x = 1

thus

5 + 6.50 ≤ 35

11.50 ≤ 35

it satisfied the condition

if x =2

we get

5 + 2× 6.50 ≤ 35

18 ≤ 35

it  satisfied the condition

if  x =3

we get

5 + 3 × 6.50 ≤ 35

24.5 ≤ 35

it satisfied the condition

if x = 4

we get

5 + 4×6.50 ≤ 35

31 ≤ 35

it satisfied the condition

if  x = 5

5 + 5× 6.50 ≤ 35

this do not satisfied the condition of not spending more than $35 in school book fair.

thus the number of books buy in school fair are 4.

Hence proved

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.