Question

В двух кассах было 807 грн. Когда из первой кассы выдали 167 грн, то в ней осталось 123 грн. Сколько денег было в каждой кассе сначала?

Answer 1

167+123=290 грн в первой кассе
807-290=517 грн во второй кассе

Answer 2

Problem Analysis

We are given that there were 807 UAH in two cash registers. When 167 UAH were withdrawn from the first cash register, there were 123 UAH left in it. We need to determine the initial amount of money in each cash register.

Solution

Let's assume that the initial amount of money in the first cash register was x UAH. Since 167 UAH were withdrawn from it, the remaining amount is x - 167 UAH.

We are also given that the remaining amount in the first cash register is 123 UAH. Therefore, we can set up the following equation:

x - 167 = 123

Solving this equation will give us the initial amount of money in the first cash register.

Let's solve the equation:

x - 167 = 123

Adding 167 to both sides of the equation:

x = 123 + 167

x = 290

Therefore, the initial amount of money in the first cash register was 290 UAH.

To find the initial amount of money in the second cash register, we can subtract the initial amount in the first cash register from the total amount of money in both cash registers:

Total amount of money = 807 UAH

Initial amount in the first cash register = 290 UAH

Initial amount in the second cash register = Total amount of money - Initial amount in the first cash register

Initial amount in the second cash register = 807 - 290

Initial amount in the second cash register = 517 UAH

Answer

Therefore, the initial amount of money in the first cash register was 290 UAH, and the initial amount of money in the second cash register was 517 UAH.