Chapter 5.5, Problem 4STP

For Exercises $1-4,$ choose the correct letter.

Cheryl is planning to spend $ 75 on a Christmas gift for her father. He needs new socks and ties. A store has socks $s$ and ties $t$ on sale for $ 4 and $ 11, respectively. Which equation models this situation?

F. $4s+11t=75$

H. $s=15t+75$

G. $11s+4t=75$

I. $t=4s-11$

To determine

To find: The equation for the given context.

Answer to Problem 4STP

F. $4s+11t=75$

Explanation of Solution

Given information: A store has socks s and ties t on sale for $4 and $11 respectively. Cheryl is planning to spend $75 on a Christmas gift for her father.

Calculation:

One socks costs $4

So, s number of socks costs $ $4s$

One tie cost $11.

So, t number of ties cost $ $11t$

Cheryl has $75 to spend.

So, Cheryl could spend totally $75 to buy socks and ties.

The equation that represents this situation is

  $4s+11t=75$