Eli and Angela are saving money to buy their grandparents an anniversary gift. Eli has saved $8 more than 1/3 of Angela’s savings. If they each save $10 more, Eli will have saved $4 more than Angela’s savings. How much has Eli saved?

20 dollars

Step-by-step explanation:

Let Eli initial savings = X

Angela initial savings = Y

If  Eli has saved $8 more than 1/3 of Angela's savings, then

X = 1/3Y + 8

X =( Y + 24)/3 (1)

If they each save $10 more, Eli will have saved $4 more than Angela's savings. That is,

X + 10 = (Y + 10) + 4

Make Y the subject of formula

Y = X - 4 (2)

Substitute Y in equation 1 into equation 2. Gives

X = ((X - 4) + 24) ÷ 3

3X = X + 20

2X = 20

X = 10 (That is the initial savings )

they each save $10 more. That is X + 10

Eli has therefore saved 20 dollars

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.