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

7 months

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*10+(\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.