Question

A company plans to build at least 152 igloos in a single week by employing skilled workers from the cities of Tomsk and Kyzyl. All Tomskians build the same number of igloos per week, and all Kyzylians build the same number of igloos per week.

Let T represent the number of Tomskians and K represent the number of Kyzylians the company needs to employ to meet its goal.

6T + 5K ≥ 152

According to the inequality, how many igloos does each Tomskian build per week, and how many igloos does each Kyzylian build per week?

Each Tomskian builds __ igloos per week, and each Kyzylian builds __ igloos per week.

Can the company achieve its goal by employing 10 Tomskians and 19 Kyzylians?

Answer 1

each Tomskians will build 6 igloos per week

each Kyzylians will build 5 igloos per week

They achieved their goal

Explanation:

6T + 5K ≥ 152

T = Tomskians

and each Tomskians will build 6 igloos per week

K = Kyzylians

and each Kyzylians will build 5 igloos per week

This is found by taking the coefficient on the inequality.

Substituting the values of T =10 and K = 19

6T + 5K ≥ 152

6*10 + 5*19 ≥ 152

60 + 95

155 ≥ 152

This is true, so they hired enough people.