Question

You are saving money to buy a new bicycle that costs $155.75. You have $30 and plan to save $5 each week. Your aunt decides to give you an additional $10 each week. a. How many weeks will you have to save until you have enough money to buy the bicycle? You need to save for how many weeks? b. How many more weeks would you have to save to buy a new bicycle that costs $203.89? You would have to save for how many more weeks?

Answer 1

It will take approximately 9 weeks to save enough money to buy the bicycle. It would take approximately 12 more weeks to save enough money for a bicycle that costs $203.89.

Step-by-step explanation:

To determine how many weeks it will take to save enough money to buy a bicycle, we can set up an equation:

$30 + ($5 + $10) imes x = $155.75

Where x represents the number of weeks. Now, we can solve for x:

$30 + $15x = $155.75

$15x = $125.75

x = $125.75 / $15 = 8.38

Since we can't have a fraction of a week, we can round up to the nearest whole number. So, it will take approximately 9 weeks to save enough money.

To determine how many more weeks you would have to save to buy a bicycle that costs $203.89, we can again set up an equation:

$30 + ($5 + $10) imes x = $203.89

Now, we can solve for x:

$30 + $15x = $203.89

$15x = $173.89

x = $173.89 / $15 = 11.59

Rounding up to the nearest whole number, it would take approximately 12 more weeks to save enough money.

Answer 2

a). 9 weeks

b). 4 more weeks

Step-by-step explanation:

a). The cost of new bicycle = $155.75

Amount I have with me = $30

Therefore remaining amount = 155.75 - 30

= $ 125.75

Amount I will save in one week = $ 5

Amount my aunt will give me one week = $ 10

Therefore total amount i will save in one week = 5 + 10

= $ 15 in one week

Therefore number of weeks required to collect the remaining amount of $125.75 is = 125.75 / 15

= 8.38 weeks

= 9 weeks

Thus 9 weeks are required to save money to buy a bicycle that cost $155.75

b). New cost the bicycle = $ 203.89

From above at the end of 9 weeks I will have = $ 125.75

Amount I have with me before = $ 30

Therefore by the end of 9 weeks I have total amount = 125.75 + 30

= $ 155.75

Therefore amount less = 203.89 - 155.75

= $ 48.14

Number of weeks require to collect the remaining amount of $ 48.14 by saving $ 15 in one week is = 48.14 / 15

= 3.20 week

= 4 weeks

Thus, 4 more weeks is required to save money to buy a new bicycle that cost $ 203.89