Paige and Cindy have been saving money. Paige started with $350 in her savings and deposits $25 into her savings each week. Cind y's savings is represented by the equation T = 190 + 40w, where T is total savings and w is the number of weeks. In how many weeks will Cindy have more money in her savings than Paige? A. 10 B. 12 C. 13 D. 11
1 answer:
Answer:
D. 11
Step-by-step explanation:
T = total savings
w = number of weeks
Paige:
T = 350 + 25w
Cindy:
T = 190 + 40w
In how many weeks will Cindy have more money in her savings than Paige
Equate the total savings of both of them
350 + 25w = 190 + 40w
Collect like terms
350 - 190 = 40w - 25w
160 = 15w
w = 160/15
w = 10.67
Approximately,
In 11 weeks, will Cindy have more money in her savings than Paige
Check:
Paige:
T = 350 + 25w
= 350 + 25(11)
= 350 + 275
= 625
Cindy:
T = 190 + 40w
= 190 + 40(11)
= 190 + 440
= 630
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Pythagorean theorem:
a^2+b^2=c^2
substitute:
10^2+13^2=c^2
simplify:
100+169=c^2
simplify:
269=c^2
take the square root:
c=16.4
The answer is 16.4
