Question

Alexis has some dimes and quarters.

Answer 1

Answer:

C. d + q = 5.80

0.10d + 0.25q = 40

Step-by-step explanation:

We are given a situation where Alexis has some dimes and quarters, all her coins have a value of $5.80 / and have a total of 40 coins.

So lets look at the equation for 40 coins.

We are looking for how many dimes and quarters equal to $5.80 and make up 40 in total

Therefore :

We have to add dimes and quarters together to make up $5.80 dollars

d + q = 5.80

This makes B. Incorrect because it has d + q = 40 instead of d + q = 5.80

Now for the amount of coins in total.

We have to find the amount of each coin costs. So a quarter is 25 cents, and a dime is 10 cents. So we add those together to make up 40 coins in total.

0.10d + 0.25q = 40

A. becomes incorrect because is has 40d + 40q = 5.80, which already goes over the amount asked and does not have the correct system of equation.

Therefore leaving you with C.

Answer 2

Answer:

Step-by-step explanation:

make two equations

one equation is about the money and one is about counting how many coins

Money equation :   .10d + .25q = 5.80

this assigns the value of the dimes at 10 cents and the value of the quarters at 25 cents.

counting equation:     d +     q   = 40

so the answer is C