Question

Veronica is saving money to buy a saddle for her horse that cost $175. She plans to save $10 the first month and then increase the amount she saved by $5 each month after the first month. How many month will it take her to save $175.

Answer 1

1 month=10
2 months= 15
3 months= 20
4 months= 25
5 months= 30
6 months= 35
7 months= 40
8 months=45
9 months= 50
10 months= 55
11 months= 60
12 months= 65
13 months= 70
14 months= 75
15 months =80
16 months= 85
17 months= 90
18 months= 95
19 months= 100
20 months= 105
21 months= 110
22 months=115
23 months 120
25 months= 125
26 months=130
27 months=135
28 months=140
29 months= 145
30 months= 150
31 months= 155
32 months =160
33 months= 165
34 months=170
35 months= 175

OR YOU COULD DO THIS:

Since he wants to save up to $175 and every month he add five dollars. You could divide 5 to 175 and it would equal 35 so he would have to save until 35 months to be able to afford the saddle.

Answer 2

Answer:

7 months

Step-by-step explanation:

Given: Veronica is saving money to buy a saddle for her horse that cost $\ 175$. She plans to save $\ 10$ the first month and then increase the amount she saved by $\ 5$ each month after the first month.

To Find: How many month will it take her to save $\ 175$.

Solution:

Amount veronica has to save for buying saddle $=\ 175$

Amount increased every month $\ 5$

Amount saved by veronica in first month $=\ 10$

Amount saved by veronica in first month $=\ 15$

Amount saved by veronica in first month $=\ 20$

Therefore this forms as Arithmetic progression,

Let month it take to save by $\ 175$ veronica is $=\text{n}$

Sum of $\text{n}$ terms in AP is $\frac{\text{n}}{2}(2\text{a}+(\text{n}-1)\text{d})$

Putting vales in equation

$175=\frac{\text{n}}{2}(2\times10+(\text{n}-1)5)$

$350=5\text{n}^{2}+15\text{n}$

$5\text{n}^{2}+15\text{n}-350=0$

$\text{n}^{2}+3\text{n}-70=0$

$\text{n}=-10,7$

As number of months can not  be negative,

Hence the it will take $7$ month for veronica to save $\ 175$ for saddle.