Question

Paige and Cindy have been saving money. Paige started with $350 in her savings and deposits $25 into her savings each week. Cindy'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

Answer 1

D. 11

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