Question

The school administration decided that four grade levels of students (K–3) will share donated funds according to the proportion of students that are in each grade. There are twice as many students in third grade as there are in second grade. There are 5 more students in first grade than there are in second grade. The number of students in kindergarten is 15 more than in first grade. There are 365 students in the K–3 grades at the school.
(A) How many students are in each grade?

(B) What fraction of the money should each grade get?

Answer 1

Answer:

kindergarten = 88

first = 73

second = 68

third = 88

Step-by-step explanation:

365=k+f+s+t

2s=t

s+5=f

f+15=k

USE SUBSTITUTION

365=((s+5)+15) + (s+5) + s + (2s)

365=5s+25

-25     -25

340=5s

/5      /5

68=s

PLUG IN

t=2(68)=136

f=(68)+5=73

k=(73)+15=88

CHECK

68+136+73+88=365