Xavier, Yan and Zac wanted to buy a toy. Xavier agreed to pay 40% of the cost of the toy while Yan agreed to pay 30% of the remaining amount. The balance will be paid by Zac. A few days later, they bought the toy increased by 20%. As a result, Xavier paid $60 for his share.
a. How much di the toy cost before the price increased?
b. How much did Zac pay for the toy?
Thanks for your help
Xavier's share is 40%
so the new full amount x can be found using
.40x = 60
x = 150
the old price was 150/1.2 = ___
Now you can find Zac's amount.
xavier.yani and zac have 60 marbles altogether.zac has 3 times as many marbles than yanixavier has 5 fewer marbles than yani .how many marbles yani have
thanks holly for the explanation, really appreciate it :-D
thanks oobleck
To solve this problem, we need to follow these steps:
Step 1: Determine Xavier's original share.
Since Xavier agreed to pay 40% of the original cost and he paid $60, we can set up the equation:
0.4 * original cost = $60
Step 2: Solve for the original cost.
Divide both sides of the equation by 0.4 to isolate the original cost:
original cost = $60 / 0.4
original cost = $150
So, the original cost of the toy was $150.
Step 3: Calculate the remaining amount.
Yan agreed to pay 30% of the remaining amount after Xavier paid his share. To find the remaining amount, subtract Xavier's share from the original cost:
remaining amount = original cost - Xavier's share
remaining amount = $150 - $60
remaining amount = $90
Step 4: Determine Zac's payment.
Zac will pay the balance of the cost, which is the remaining amount. Since Zac pays 100% of the remaining amount, Zac's payment can be calculated as:
Zac's payment = remaining amount
Zac's payment = $90
So, Zac paid $90 for the toy.