Kate has a coin collection. She keeps 7 of the coins in her box, which is only 5% of her entire collection. What is the total number of coins in Kate's coin collection?

140 coins

Step-by-step explanation:

To calculate the total number of coins Kate have in her collection, we can use the rule of three:

The problem says that 7 of her coins are equivalent of 5% of her entire collection, and we want to know the total number of coins (100%) of her collection. So, if 7 coins are 5%, how much coins are 100%:

7 -> 5%

X -> 100%

7/X = 5/100

X = 100*7/5 = 140 coins

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5