Question

Laci and Leon are saving money to go to an amusement park. Laci has $1 more than 4 times the amount of money Leon has. Together, they have $76. Write an equation to determine how much money they have together.

Answer 1

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 2

Answer:

Laci has $61 and Leon has $15.

Step-by-step explanation:

Givens:

• Laci has $1 more than 4 times Leon.
• They have together $76.

So, $La$ is Laci, and $Le$ is Leon.

So, according to the problem:

$La=4Le +1$

Because Laci has $1 more than 4 times Leon's money.

Then,

$La+Le=76$

Because together they have $76.

Now, we replace the first equation in the second one:

$4Le +1+Le=76$

$5Le=76-1$

$5Le=75$

$Le=\frac{75}{5}=15$

Replacing this value in the first equation:

$La=4Le +1$

$La=4(15) +1=61$

Therefore, Laci has $61 and Leon has $15. The expression that models this problem is a system of equations formed by:

$La=4Le +1$

$La+Le=76$