Question

Mrs. William shops at a store that has an annual membership fee of $30. today she paid her annual membership and bought several fruit baskets costing $15 each as gifts for her co-workers. her total was $105. solve the equation 15b+ 30=105 to find the number of fruit baskets mrs. Williams purchased.​

Answer 1

Number of fruit baskets purchased by Mrs. William is 5

Solution:

Given that

Annual membership fee of store where Mrs. William shops = $30

Cost of one fruit basket which Mrs. William as gifts for her co-workers = $15

Total amount spent by Mrs. William = $150

Given that "b" represents number of basket purchased

Equation which models the above scenario is as follows

15b+ 30=105 ------ (1)

Where b represents number of fruit basket purchased by Mrs. William

Need to calculate number of fruit basket purchased by Mrs. William

For which we need to solve equation (1) for b

On solving we get

15b+ 30 = 105

On Subtracting 30 from both sides we get

15b + 30 – 30 = 105 – 30

=> 15b = 75

On dividing both sides by 15 we get

`\begin{array}{l}{(15 b)/(15)=(75)/(15)} \\\\ {=>b=5}\end{array}`

As variable "b" represents number of basket purchased, hence we can conclude that number of fruit baskets purchased by Mrs. William is 5