The ratio of boys to girls at school today 4:7. If there are 350 boys at school today, how many girls are there? Round down

If we know the ration is 4:7, we know that both 4 an 7 need to be multiplied by the same exact number to equal 350. That leads us to set up the following equation:

4x + 7x = 350

We combine like terms to get:

11x = 350

We divide by 11 on both sides to get:

x= 31.82

7x represents the number of girl so :

7 * 31.82 = 222.72

Because the question says to round down, the answer is 222

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for