Answer:
5 x+1=75....equation 1
amount saved by Laci=$61
amount saved by Leon=$15
Step-by-step explanation:
Step 1
Express the total amount of money saved by each person as shown;
Let the amount of money saved be;
Leon=x
Laci=4 times as Leon plus 1=4×x+1=4 x+1
Total amount saved=$76
Step 2
Express the total amount saved by all of them as shown;
Total amount saved=amount saved by Leon+amount saved by Laci
where;
Total amount saved=$76
amount saved by Leon=x
amount saved by Laci=4 x+1
replacing;
76=x+4 x+1
5 x+1=75....equation 1
76=5 x+1
5 x=76-1
5 x=75
x=75/5
x=15
Step 3
Substitute the value of x to get the amount of money spent by both Leon and Laci;
amount saved by Leon=x=15
amount saved by Laci=4 x+1=(4×15)+1=61
Answer:
Step-by-step explanation:
Givens:
So, [tex]La[/tex] is Laci, and [tex]Le[/tex] is Leon.
So, according to the problem:
[tex]La=4Le +1[/tex]
Because Laci has $1 more than 4 times Leon's money.
Then,
[tex]La+Le=76[/tex]
Because together they have $76.
Now, we replace the first equation in the second one:
[tex]4Le +1+Le=76[/tex]
[tex]5Le=76-1[/tex]
[tex]5Le=75[/tex]
[tex]Le=\frac{75}{5}=15[/tex]
Replacing this value in the first equation:
[tex]La=4Le +1[/tex]
[tex]La=4(15) +1=61[/tex]
Therefore, Laci has $61 and Leon has $15. The expression that models this problem is a system of equations formed by:
[tex]La=4Le +1[/tex]
[tex]La+Le=76[/tex]
