A large city is hiring painters to create murals around the city. Each painter can paint 2 large meals a day or 7 small murals a day. If the city needs 24 large murals and 98 small murals painted in a 2 day time period, how many painters will be needed?

13 painters

Total number of painters needed N = NI + Ns

N = 6 + 7 = 13 painters

Step-by-step explanation:

Given:

Each painter can paint 2 large murals per day

OR

7 small murals per day.

In 2 days;

Each painter can paint 2*2 = 4 large murals

OR

7*2 = 14 small murals

The number of painter needed to paint 24 large murals and 98 small murals in two days.

For the large murals

Number of paiters needed for the large murals Nl = total number of large murals to be painted in two days/number of large murals each painter can paint in two days

NI = 24/4 = 6 painters

For the small murals

Number of painters needed for the small murals Ns = 98/14 = 7 painters

Total number of painters needed N = NI + Ns

N = 6 + 7 = 13 painters