279,600 views
19 votes
19 votes
Two students spent the same amount of

money on their lunches and got the same
number of toppings. One bought a steak
burger and paid $3.80 plus $0.40 for each
topping. The other bought a hamburger
and paid $3.20 plus $0.60 for each
topping. How many toppings did each
student get?


User Mark Roddy
by
3.2k points

2 Answers

28 votes
28 votes

Final answer:

To find out how many toppings each student got, set up two equations based on the information given. Solve the equations to find 'x', which represents the number of toppings. Each student got 3 toppings.

Step-by-step explanation:

To find out how many toppings each student got, we need to set up two equations based on the information given. Let's say the number of toppings is represented by 'x' for both students.

For the first student who bought a steakburger, the total cost can be expressed as: $3.80 + $0.40x.

For the second student who bought a hamburger, the total cost can be expressed as: $3.20 + $0.60x.

Since both students spent the same amount of money, we can set the two expressions equal to each other:

$3.80 + $0.40x = $3.20 + $0.60x

To solve for 'x', we can subtract $0.40x from both sides and subtract $3.20 from both sides:

$0.40x - $0.60x = $3.20 - $3.80

Combining the like terms:

- $0.20x = - $0.60

Dividing both sides by - $0.20:

x = 3

So each student got 3 toppings.

User RGuggisberg
by
2.9k points
19 votes
19 votes

0.60-0.40=0.20

3.80-3.20=0.60

0.60 divided by 0.20=3

Hence, each student got 3 toppings each.

hope it helps:))

User Ofhouse
by
3.0k points