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A textbook store sold a combined total 217 of history and chemistry textbooks in a week. The number of chemistry textbooks sold was 57 less than the number of history textbooks sold. How many textbooks of each type were sold?

Respuesta :

Answer: 137 history books were sold

80 chemistry books were sold

Step-by-step explanation:

Let x = the number history textbooks sold by the textbook store in that week.

Let y = the number chemistry textbooks sold by the textbook store in that week.

The textbook store sold a combined total 217 of history and chemistry textbooks in the week. This means

x + y = 217 - - - - - -1

The number of chemistry textbooks sold was 57 less than the number of history textbooks sold. This means

x = 57 + y

Substituting x = 57+ y into equation 1. It becomes

57+y+y= 217

57 + 2y = 217

2y = 217 - 57 = 160

y = 160/2 = 80

x = 57 + y = 57 + 80

x = 137

137 history books were sold

80 chemistry books were sold