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Chapter 1: Q14. (page 44)

FLOORING

Deion estimates that he will need between 55 and 60 ceramic tiles to retile his kitchen floor. If each tile costs $6.25, write and solve a compound inequality to determine what the cost c of the tile could be.

Short Answer

Expert verified

Cost of the tiles could be 343.75鈮�c鈮�375

Step by step solution

01

- Formula for cost of tiles

Cost cof tiles is product of cost of each tile with number of tiles

Let the number of tiles be n

As cost of one tile is $6.25so cost of required number of tiles

c=6.25脳nc=6.25n

02

- Inequality for number of tiles

As number of tiles between 55 and 60

So inequality for number of tiles required

55鈮�n鈮�60

03

- Inequality for cost of tiles

Using multiplication property of inequality, multiply an inequality with positive number does not reverse the sign of inequality so multiply inequality of step 2 with 6.25.

55脳6.25鈮�n脳6.25鈮�60脳6.25343.75鈮�c鈮�375

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