Question

Erica and her sister Laura are making baby blankets to sell at a boutique. Erica has already completed 10 blankets and can finish 6 more blankets per day. Laura has already completed 6 blankets and can finish 10 more blankets per day. At some point, they will have completed the same number of blankets. How many blankets will each woman have made? How long will that take?

Answer 1

Laura and Erica will both have made 16 blankets in one more day.

Explanation:

i) Erica has made 10 blankets already.

ii) Erica can make 6 blankets more per day

iii) Laura has completed 6 blankets already

iv) Laura can complete 10 more blankets per day.

v) Let x be the number of days to the point when they will have completed the same number of blankets

vi) Therefore the number of blankets that Erica makes till x days is = to the number of blankets that Laura makes till x days

vi) therefore 10 + 6x = 6 + 10x ⇒ 4x = 4 ⇒ x = 1 day

vii) Therefore Laura and Erica will both have made 16 blankets in one more day.