Sam had $375 more than Jasmine. After Sam spent 60% of his money and Jasmine spent 45% of her money, they had $1442 left altogether. How much did they spend altogether?

Let's denote the amount of money Jasmine had as J. Then Sam had J + $375.

After spending 60% of his money, Sam has 40% left. So, he has 0.4 * (J + $375) left.

After spending 45% of her money, Jasmine has 55% left. So, she has 0.55 * J left.

Together, they have $1442 left. So, we can write the equation:

0.4 * (J + $375) + 0.55 * J =$1442

Solving this equation will give us the amount of money Jasmine had. Then, we can find the amount of money Sam had and calculate how much they spent altogether.

Let's solve the equation:

0.4J + $150 + 0.55J =$1442 0.95J + $150 =$1442 0.95J = $1292 J =$1292 / 0.95 J = $1360

So, Jasmine had $1360 and Sam had$1360 + $375 =$1735.

Together, they had $1360 +$1735 = $3095.

They spent $3095 -$1442 = $1653 altogether.

Let's denote the amount of money Jasmine had as J. According to the problem, Sam had $375 more than Jasmine, so we can denote Sam's money as J +$375.

After spending, Sam has 40% of his money left, and Jasmine has 55% of her money left. The problem states that they have $1442 left altogether, so we can write the equation:

0.40(J + $375) + 0.55J =$1442

Solving this equation will give us the amount of money Jasmine had. Then, by adding $375 to Jasmine's money, we can find out how much money Sam had.

Finally, by subtracting the total amount of money they have left ($1442) from the total amount of money they had initially, we can find out how much money they spent altogether.